Okay, very good morning to everyone. Hope you're well Tuesday 10th of September Understand will is listening to us live in China right now. So hello will and everyone listening there Going to go through the usual routine. I'm going to go and run through some of the headlines in regard to Brexit Chinese data that came out overnight in the form of inflation so PPI and CPI we can have a look at also going to have a look at Energy prices because WCI crude oil continues to rally looking to put in one of its best gains that we've seen in about two months Actually in terms of consecutive sessions moving to the upside But before we get into those individual stories and look at the calendar for the day ahead Let's just have a quick review of the charts this morning and it's a relatively quiet open All things being equal a little bit lower in stock futures But I would probably classify them more as flat at this point One thing that we are seeing is a bit of a pullback and interestingly gold is back below 1500 in the futures and obviously that's been a big psychological level of late We managed to get all the way up to north of 1560 in the last week or so, but you have seen a break of that level overnight and Consequently that has acted as you can see here is a little bit of near-term Resistance on the pullback after the initial break. So if I just Highlight that price action here so Dipped lower overnight broke through its respective s1 in the daily pivots And this is quite often what you see when you get these kind of fast money technical led moves in the fairly illiquid part of the overnight session and The market kind of chases down to the next logical point of technical support and you can see that provided by S2 you've then grinded all the way back up and found some resistance then on the point of the original break Which actually lines up pretty much to the to the scent of what would be the $1,500 level in the future space at least on the daily pivot. So range Formed then over the last several hours between that s1 and 2 as you can see but a little bit over Accentuated perhaps the downside in gold overnight just giving the meaningful break of the technicals rather than something I would say specifically on the fundamental front And we trade down about 12 bucks at the 1500 figure for the moment elsewhere T notes a little lower as well down about seven and a half ticks buns actually If I just quickly bring the bun future into shot you can see here again I'd say technicals coming into play to some degree you can see the overnight range and yesterday Afternoons low just being broken And that also taking out the low print that we had going back to the fifth Which obviously was the middle of last week last Thursday and so just a bit of a test on that level Is there anything behind these moves this morning? I wouldn't say there's a headline behind them specifically Obviously the market though things like the Bund have seen a particularly good run with this whole idea of further Accommodative central bank policy action to come particularly this week with the lights have got the ECB got the Fed next week And all the other kind of dovish signals that we've had from global central banks of late So perhaps just a little bit of unwinding or profit-taking from some of those moves Just coming in but as I said over on the charts, I'd say it's relatively quiet Currencies a quick round up the Dixie is trading flat But has backed off and broken its overnight fairly tight range And so it was up generally overnight and as it's pulled back We've just seen a little bit of an upside moving cable towards retesting the interlay hide that was seen yesterday We're gonna get into all the details of course, but now Parliament in the UK has been prorogued which means that now It's been signed into law received royal assent yesterday Brexit all things remaining equal is now going to be delayed unless Boris Johnson is going to challenge this in the courts In regard to the legal wording surrounding that latest Hillary Ben Bill Otherwise WTI crew a little bit more positive as mentioned continues to add to gains. I wouldn't say This is so much anything like a supply risk type headlines that That are going around nothing really on Iran for quite some time in fact What this really is is? Expectations are that we're gonna be in for another drawdown in the infantry situations for another consecutive week In the numbers that will come out API tonight DOEs tomorrow and then also as well We've got the Saudi or minister change that we saw at the weekend and a commitment coming into the JMMC meeting in Abu Dhabi on Thursday that Saudi will continue to form a fairly cohesive relationship with Russia and That they will continue to commit to cuts If anything some speculation that they could go further and cut even deeper helping keep keeping the price of oil propped up for the moment So that's the overview Let's just Get a bit of a roundup of what exactly has happened with Brexit So Boris Johnson, of course called for a second time for a snap election and lost Many Labour MPs abstained in the vote only 293 voted for an election 46 voted against this is Well sure of obviously the two-thirds of majority that would be needed Interestingly UK Parliament also had a secondary vote where they voted 311 to 302 In favour of forcing the UK government to show all documents regarding its no-deal planning as well as private messages In relation in relation to the decision to suspend Parliament I'm particularly interested to see What is potentially a complete lack of planning In regard to actually trying to broker a deal in itself Given what Amber Rudd was saying at the weekend When she resigned that the government is kind of wholly focused on just dealing with no deal Not actually trying to secure a deal which is May I remind you still to this point the government's actual mandate at least for the moment and private messages going around about Suspension of Parliament. I'm sure that's going to be some interesting conservative WhatsApp groups That are going to come to light and all of this of course is going to be reflected quite negatively on Boris Johnson which comes after What the headline has suggested on Bloomberg similar to this that he's lost six votes so far as prime minister So if you thought Theresa May was bad at securing Bills through Parliament Boris Johnson is doing a pretty good job himself at the moment Other things that have happened The Prime Minister of course and just to re-emphasize this point Promised to commit himself to trying to secure a vice-Brexit deal the EU summit on October 17th and 18th Remember Parliament now Is in suspension So that we have this normal period of where the political party conferences will be happening labor end of September Conservatives early October, but the additional couple of days of course given that what Boris has done in his latest move to Pro-rogue Parliament. So the Queen will reopen Effectively the Lower House of Commons on October 14th with her speech that then gives the EU summit on October 17th 18th Which is where Boris is hoping to strike some sort of deal or concessions from Europe He has angered MPs though by suggesting he could defy a new law the law that passed yesterday By pressing ahead with no deal exit if he failed so I if he can't get a deal at that EU summit in mid-October then he's still gonna have a no deal Irrespective of the new legislation put into law yesterday. Now. This is quite a contentious issue because Some suggests that he could actually face jail if he did that because he would be in effect breaking the law I think that's completely sensationalist The the thing here about UK law is it's very nuanced in your interpretation of the wording of legislation And so what the government are suggesting is that they can bend that as far as possible as to how they deem What it is supposed to reflect and that they still reserve the right to potentially have a no deal. However, I do Definitely think that this is just Posturing from the Johnson camp. He will have to buckle and pay heed to the new law that's passed So it will be delayed is my point of view here Couple of other things that happened yesterday, of course Which were which were meaningful in some respect the speaker John Burko announced. He would be stepping down, but of course Only after Johnson's proposed Brexit day of October 31st has passed because the speaker will I'm sure play quite an influential Role when Parliament reopens in mid-October in that two-week period before then we do indeed Seal the fact that it's going to be delayed until January 31st of 2020 now The other thing that's been Interesting has been that Boris Johnson the Prime Minister was in Dublin meeting the Irish PM yesterday Of course, the biggest sticking point remains that of how they're going to address the issue of the Northern Irish border And the PM has actually softened his stance slightly Confirming he was ready to leave Northern Ireland in the EU single market for food and agricultural purposes to reduce the need for checks at the Irish border now That has been a little bit warmly received that we're making a bit of headway However, EU are very unlikely to accept that alone As enough of movement on that commitment on the backstop and importantly, of course the DUP would be Absolutely against that having then the fact that Northern Ireland would have unique rules Keeping it aligned for food and agriculture to the EU single market, which would effectively put an Irish sea border meaning that then Northern Ireland would be treated slightly separately from the rest of United Kingdom, which is Absolutely against what the DUP would want. So, yeah a little bit of softening of the PM's stance I do think that's quite telling considering how harsh and Deliver this and that he's been he's already making a little bit of movement in that regard which I think still Is necessary to get this deal over the line if there is to be one now on the point of what is the probabilities that most economists at the Big Bank banks are thinking. Well, this is the latest out of a Reuters survey that came out overnight And effectively as the headline would suggest Brexit to be delayed the chance of a no-deal departure. I believe it's 37 banks that were asked the question They put the probability on an average at 35% just given everything that's been going on so still a chance that it could happen But only at 35% the range was ten at the low to one outlier at 60% at the high What does this mean then for the pound for the moment? Reality is I think that the pound has already really shown you what all this means for the pound Which is that Brexit is gonna get delayed Till January 31st so when we were looking back at the pound of course and it was flirting with these Really quite interesting long-term levels. We momentarily printed the lowest level in sterling dollar cable Since 1985 However, it was only for a fleeting moment in time and we retested and broke through that double bottom Post the actual e referendum price action when obviously no deal or hard Brexit was first mentioned But we have seen a very strong recovery and cable since that I mean mean me and Sam we're talking about it Just the other day We were like, you know, God have we missed the opportunity here of a lifetime to get in on that that move When we've had that pullback just having a look on my currency indicator here the pound has rallied over three and a half percent Over the course of that initial lobe happening I think a lot of that was accelerated on initial bounce through a bit of a short squeeze I think a lot of people would have been trying to get short on 120 and would have got stopped out quite aggressively on the back of that And that helped the initial move, but now this legislation being Receiving its rural ascent and going into law makes it incredibly difficult for Boris now to to do this in order to get a No deal credible threat and I think as that gets priced out the price has got to continue to move higher Again, just to be clear does this rule out a general election? Absolutely not a general election is still the base case scenario But the expectation is now that that will only be agreed to Once then we come back reopening Parliament on October given the legal timeline for a general election to happen Most expectations now that that will happen in mid November is when a general election is now Anticipated any further upside in the medium to long-term in cable then I'd probably be looking at around these levels 124 17 in the futures 81 then starts to bring in the low point of the December 18th low that was when Teresa may survive that vote of no confidence if you remember and So yeah a couple of upside levels as we continue to recover coming up that might provide some medium term resistance To the price of the pound Okay, few other headlines to be aware of This was overnight Chinese data We had China's factory gate prices shrunk at the sharpest pace in three years in August Falling deeper into deflationary territories you can see here from this orange line well below zero minus 0.8 Percent definitely reinforcing the need for further economic and fiscal stimulus coming out of the Chinese authorities We saw that at the end of last week. They cut the reserve requirement ratio for the seventh time since early 2018 fiscal spending Continues at a pace and this all to counteract the downturn in economic activity domestically translating into diminishing demand and consequently a Consistent pattern of weakening PPI that they need to counteract as you can see though Continuation of the divergence between falling PPI and accelerating albeit a slightly more moderate pace in CPI CPI in line with expectations 2.8% but check out some of these numbers Food price index when you look at CPI rose ten percent on the year from a nine point one percent jump in July at the highest now since January of 2012 pork prices were up just shy of 50% an increase of 27% in July this all coming of course after the African swine fever meaning a complete culling of a large amount of the pig population In the agricultural sector, which is squeezing them the price of pork ever higher Translating and spilling over into other prices and accelerating food price index, which is helping underpin the CPI number for the moment What does that mean again for China as mentioned? It doesn't really translate into something immediate on the charts this morning. It just means that then It gives further explanation as why China are doing what they're doing from a policy perspective at the moment And that will continue for some time to come Oil we already mentioned and looked at the chart. So not really much more for me to add on this point the the The takeaway of course from Prince Abdul Aweez being put in place the first actually kind of member of the royal family to take the head of the oil ministry Position which has always been, you know, such an important role, of course being at the head of the state owned Saudi Aramco and so on The first time that it's been taken out of the hands of a kind of quote outsider and brought more in-house into the royal family But I guess from a market Participant point of view The fact that there'll be no drastic shifts in policy and Saudi look to continue to align themselves with Russia with a coordinated approach Is what's important for the time being Okay, quick look at the calendar. What have we got to come for today's session? Well Chinese data already out the way, so if I just blow this up a bit bigger so you can see we got UK data at 9 30 Given a lot of the political headlines at the moment. I would say Now that Parliament has been suspended Actually Brexit headlines, I think will come off the boil a little bit It really peaked at the weekend the end of last week with the resonations of Joe Johnson and Amber Rudd and the law That happened in the late night in Parliament. I didn't wrap it up till about 1 a.m. Last night now that that's all done I think actually Brexit headlines might might drop off a touch. Does that mean the UK average earnings data will become more important? Well, not so much. I was looking at a graphic that Eddie sent me yesterday about market pricing for central bank rate changes and Although all of markets are pricing in potential easing pretty much collectively across the globe the Bank of England's probably to the lesser extent and That's because obviously the uncertainty surrounding Brexit. It's kind of really shackling the the policy maneuver Capability of the monetary policy committee at the bank. So I don't really see this data being too much to worry about There is a technical level of support Which was a retest of the high print from yesterday cable that if broken might well help push us on up until there are one in the Daily pivots and potentially beyond just given the favorable news that's happened politically that should if anything just Underline that trend of a further sterling recovery. So, yeah to be aware of But potentially not massive breaking news U.S. Session relatively quiet no major data coming out. We continue to obviously keep an ear out for any updates on the trade war side You probably would have read a lot about the J.P. Morgan new Vulfifi index that they've created which is basically mapping Trump's market moving capability that he has in the rates market Through commenting on things like the trade war The point being is that at the moment the Treasury Secretary Mnuchin has said that talks continue Some progress in dialogue being made and of course they are set to meet sometime next month But obviously at any given point in time we could hear of updates on that on that matter Trump, of course, you'd be looking out for in a few hours time when he Awakens from his slumber and hits his Twitter account if he says anything I guess these are ongoing risks to be aware of and definitely I think if you were being prudent I would mark up the charts accordingly if any everything's in a fairly Not a positive state, but things are moving in the right direction What I'd be interested in from a market reaction point of view as he comes out and says something quite aggressive There was that Chinese journalist Which is often who is often closely followed as the mouthpiece in the Western world of what the Chinese government is stating He was quite critical about the US last night, which might rile Donald Trump and just going back to the charts for a second given the close proximity to The low that was seen in yesterday's session in the futures market You've got that s1 and the low point that was seen there In the s&p it'd be quite easy to mark up potentially those downside levels if Trump was to come out and and say something in response to those comments Otherwise API all inventory numbers will come later on tonight Mark Carney is speaking at a council on foreign relations Obviously whenever a head of a central bank is speaking I'd keep an eye and a near open but Not expecting anything from Carney today quite frankly and then for anyone trading US 10 year You get the first of the weekly Round of issuance coming out from the US 38 billion coming in the three-year no auction longer data maturities to come later If you're trading In German fixed income you've got the boom bobble shat set 19 futures expiry so the rollover will continue throughout session today All right, that is it from me That's all the news for this morning So have a good session ahead and Sam's gonna run over now some of the charts in more detail. Thanks very much Hi guys, good morning Hello to will in in China as well. I hope everything is going well there We'll have a quick look over equities to begin with as you can see just over the last 20 minutes or so Just coming under a bit of pressure here We'll start off with with Europe in here in the Dax Just coming to the quite an interesting zone and it would be one that I keep an eye on just from all of yesterday And and the very small gap open we got in the futures is just below here as well Worth keeping an eye on that you can just see the importance of this support point And we just failed to really push above the pivot this morning, which was a previous loan if you have a look at the FTSE on your on your own charts as well you see This is kind of what the FTSE looked like 24 hours ago And then we got the the break lower in the FTSE We got the retest around three o'clock and also overnight before pushing to the downside So just from a technical point of view, you know, if we were to clear that area in the Dax and retest it That's a strategy. I wouldn't mind Looking at too much So for equities in general just under a bit of pressure But coming to important support points and and that is the same for the S&P here You can see yesterday's low is also the low that we had back on the morning or the overnight low on the fifth and then previous Area on the same day as well So coming to important support points by no means is this now ready to go sure and hold for a while But certainly if we were to get below there just from a sentiment point of view You know, those are there the lines in the sand that you would want to to have on for sure If we look to the upside in in US equities and again focusing on this would be more into the afternoon You can see you'd be happy if we were to get back above that trend line and also this morning area of resistance around 29 77 and a half So that'd be a point where maybe later in the day if we get a push above this then you'd be more comfortable For holding a long position, but at the moment as you can see stocks just under a tad of Pressure coming to those lows obviously the Dax more likely to Be the lead here. So that's one I'll be focusing on but with us the NASDAQ Dow and S&P not far from yesterday's lows where There is key support As well to keep an eye. Yes, we've got some UK data at 930 likelihood Is it would just be a short far reaction the pounders perhaps is drifting lower? After a decent push higher as the dollar weakens only against the euro anyway The pound here like we was saying have we missed what you know Have we literally seen the the low of the next few years? You never know with these markets But what a level to have got in on on the false breaker 120 if you remember to our The Q&A we did I think back on the 18th when we were talking just about the pound here It's all about where it closes on that 120 below because below then yes see you later We could get down one 15 pretty quick The fact that we failed to close below you can just see since then update update Yes, we had a down day on the sick But another one followed yesterday and quite a strong level as well looking at More intraday the pivot looks pretty important or just below as an area One 23 20 on the future is a good support point from yesterday afternoon So that's somewhere I would have focused on there just coming down though, you know relatively strong Move here not far from its low of the day So keeping a close watch maybe how if we were to break that low before making this decision to get in around That pivot or not you can see there just getting that test of that level euro pound Up to an important point as well So let's just bring that in and see here Type in the wrong code euro pound you can see just coming up to test that pivot level was also And this is the future but also a decent low from Friday albeit chops through a touch yesterday So the pound is under a bit of pressure this morning after actually pushing to the upside the euro You can see had a bit of strength certainly against the pound recently, but also similar in that move We saw a push higher and the euro I just want to bring on this It's not the most accurate trend line that you'd ever see but certainly You can see here over the last few weeks We're just coming to test the top of that now so as An important level You know those those trend lines again It's all about the closes of them That's something that I'd be focusing on I've got it on a few of my charts and actually a few of the euro pairs as well Look relatively similar to the downside you can see as well. We're just starting to get squeezed so price It's got to make a decision soon And the way you could be looking at it is obviously over the break above or to the downside And that's how I would really focus and it looks kind of like oil does on a on a daily chart price Just getting squeezed in which you'd half expect ahead of the ECB on Thursday So maybe not expecting too much in the way of a big move But certainly those trend lines from the bottom and the top would be something that I would have on there as well Quick look over at what gold is doing as I mentioned yesterday We had that lovely lovely trend line that broke into the afternoon Let me just draw that on as well You can see I was monitoring this at the time of the the interns and got the break got the retest might have Maybe stopped a few people out on that but decent push low and and we got that 1500 We were saying a couple of times just how 1500 did look like an area We needed to go and test just because you can see all these these lows around here going back from the the 13th 1922 and 23rd and we've got that that push there. So on the retest of that area 1503 would be certainly one to to keep an eye on especially in the lower volume morning trade For the range trade from around there. It's not the worst idea in the world. Of course want to keep an eye what? Risker assets are doing at that point, but as important level 1503 Certainly an area I would have marked up on that as well oil made a Multi-week high yesterday breaking above 58 dollars initiative actually literally right on 58 dollars and we can see Here if we just put it on the longer chart and you can see how similar it looks to your robot on the daily We've got that finally that close above here and in the strategy. I was talking about how you know We needed to really break out of here to get a Decent move we just kept getting squeezed in between those two trend lines. We're now above it And the next real key I guess technical level for looking from a market point of view Is the high that we had back on the 31st of July? So keeping an eye on that but also of course any retest of that trend line again to come into play and also Previous highs as well. You can see that's already worked. What was the high the fifth last night actors such good support around 57 76 for the the classic if you like before that push to the upside and some other key levels As well that haven't quite maybe been retested as well 57 28 for oil So break of that trend line pretty bullish ahead of some opaque comments and meetings and so on Quick look over the dex has bounced from that level just shows how important that is and Just reaffirms the idea that if we were to break you could expect a decent enough move If we were to get the other side of that that zone So definitely one to keep an eye on on the on the dex there I've got orders on the FTSE Which is already broken through? So say this is the FTSE trading around here at the moment I'll be looking for it to retrace to to get in that short again Ideally would probably want the dex to be breaking at a similar time As well, but the pound just have a quick look just bouncing off that low Got obviously just under an hour to that data release happens As usual any questions obviously, please do let us know either in training live or YouTube on the chat Got the data coming up in in a bit, so we'll be on the mic throughout I hope you'll have a good trading day


Hello everyone welcome back to a new session on dentistry and more. So in oral pathology today's session will be dealing with Three syndromes namely Sjogran syndrome phrase syndrome and plumber Winston syndrome So we have many syndromes in oral pathology So this session is just highlighting three syndromes and the coming sessions will be dealing with the further syndromes so let's see what is Sjogran syndrome phrase syndrome and Plumber Winston syndrome. So we'll start with the first one that is Sjogran syndrome So it is a autoimmune disease. So, we know what is autoimmune disease the immune The immune system is acting against our own body cells Actually, it is supposed to act against the antigens the foreign bodies But it is by some error. It is acting against our own body system So that is autoimmune disease so the most common striking features of Sjogran syndrome is Dry eyes and dry mouth so there is lack of Tear and lack of saliva will be present in Sjogran syndrome. That is the most striking feature of Sjogran syndrome So what happens is The immune system affecting its own cell that is it affects the lacrimal glands and salivary glands So these glands are supposed to produce saliva and tears. So when it affects these gland, there will be Improper production of tears and Salivary gland so there will be dry eyes and dry mouth and it most commonly associated with rheumatoid So risk factors include age that is 40 years or greater than 40 years It usually diagnosed in this age group that is more than 40 years and Women are more prone to have Sjogran syndrome compared to men And rheumatic disease is common for people who have Sjogran syndrome Also to have a rheumatic disease So rheumatic disease also a risk factor for Sjogran syndrome And the most common symptoms we already discussed they are Like skin rashes, dry cough and most commonly stiffness and swelling It can have thyroid problems, kidney, liver, lungs, skin, nerves So most of the organs are affected By these autoimmune diseases and what are the complications we know it has Problem with production of saliva and here so there will be dental cavities Why because the saliva is keeping the mouth clean by its fleshing action When saliva is less there will be more chance of caries And also east infection will be there and since it is dry eyes there will be problem with vision So how do we treat this so treatment is very symptomatic we can Provide eye drops medications the eye drops are also known as crocodile tears And pylocarbin which is for salivary gland So it improves the saliva and we can suggest a patient to sip water frequently and also use Saliva producing chewing gums and such a symptomatic way we can manage this And diagnosis we can diagnose this by saliva flow test Silogram Schumer tear test So tear test is a special test for Counting the tear drops And biopsy is another method for chauvin syndrome. So chauvin syndrome The basically you should remember the trial that is dry eyes dry mouth and rheumatoid arthritis. It is a autoimmune disease which affects Lack remel and salivary glands Now let's move on to the second syndrome that is Frey syndrome Frey syndrome is also known as auricular temporal syndrome. Also another name is dupai syndrome So what happens is here also it is affecting salivary gland, but it is not a autoimmune disease Jogren syndrome is a autoimmune disease this is Salivary gland is affected due to a surgery or a trauma or a neck dissection In that case the salivary gland and auricular temporal nerve is affected And what happens there will be fleshing and gestatory sweating And where this happens it is in the pre auricular area when this happens in response to mastication or salivary stimulus when we think about a Very peculiar food like lemon or a so type food there will be Saliva production usually but that time there will be sweating in the pre auricular area because the auriculotemporal nerve is damaged So parotid gland and auriculotemporal nerve is damaged by any of these surgeries So this fleshing and gestatory sweating will be there in this particular area And also they may have erythema, anesthesia and parastasia regarding phrase syndrome So how do we diagnose we can use minor iodine starch test so we can apply starch and iodine and get this test done for phrase syndrome and treatment we can use botulinum injection And anti-cholinergic ointments like scopalamine and also surgical interventions So shogunin syndrome and phrase syndrome it is both affected The salivary glands are affected But here it is autoimmune disease and here it is a trauma to the auricular temporal nerve and parotid gland So both the cases there is problem with saliva Here there will be pre auricular area fleshing and sweating when there is a response to mastication Or a salivary stimulus when we think about particular food Or such things there will be sweating in the pre auricular area So that is phrase syndrome or dupai syndrome or auriculotemporal syndrome And the third syndrome through this session we are discussing about plumber vinson syndrome It is a very different one not related to these two It is also known as Patterson Kelly syndrome. These are the people who reported these syndromes first and it is Also known as Sidro-Penic dysphagia. So dysphagia we know it is the difficulty of swallowing And why this is happening? This is due to the long-term iron deficiency anemia. So iron is very much vital nutrient for our body. So when this iron is deficient and anemia causes and it lasts for a very longer period it might result a plumber vinson syndrome and it has a peculiar triad. So what is that triad? The anemia dysphagia and esophageal webs. So why this esophageal webs? There is small and thin growths of tissue partially blocks the foot pipe or esophagus. So on the track of esophagus there will be small and thin growths of tissue will be there. So this is why the swallowing is difficult or dysphagia is formed. The person is not eating properly so there will be weakness and person may have burning mouth, glossitis, spleenomegaly, coelonechia and all these are associated symptoms with plumber vinson syndrome. And diagnosis is basically by endoscopy, blood test and biopsy treatment. It is mainly nutritional intervention because it is iron deficiency anemia and nowadays iron deficiency anemia and this plumber vinson syndrome is quite rare because the nutrients interventions or the nutrients deficiency are a little bit not very much heard and it's the complication related to plumber vinson's commasal carcinoma. So today's session was about three syndromes. One is jockron syndrome, fraze syndrome and plumber vinson syndrome. So these two syndromes were associated with salivary glands and lacrimal glands. This is a autoimmune disease. This is a disease due to the trauma to the salivary gland and auriculotemporal nerve and this is a nutritional deficiency and deficiency plumber vinson syndrome. So these three are commonly asked questions. So whatever I put in this spot is asked once or twice in the university exam. So try to understand the difference between these three. So I'll come up with more syndromes in my next sessions. Thank you.


Good afternoon and welcome to part two of the lecture, make up to $20,000 a month in 30 minutes a day. So I was talking about CTRX. This was another wonderful gap down. The stock closed up here. This is the night before on Wednesday, approximately 5170, 5180-ish, and gap down the next morning under $47. So this was a nice bearish gap, a golden gap, to watch to short in the direction of the gap which is down. The stock gap down. So what happened here with this? Well, it opened, this is a one-minute chart again, rallied first and set up. Now, this is a one-minute chart. The stock closed, okay, this is Wednesday night up here, and then it opened the next morning right here. So this is 9.30, this is the open of the trading day. Market opens at 9.30 Eastern time. So you have to wait for a setup. You have to wait for confirmation, wait for confirmation the stock is actually going to go in the day. And again, you're looking for the trade within the first 30 minutes, between 9.30 and 10. Entry time was 9.43. Price is 47.25. Stock was over 47.55. This is a nice entry on a stock at this price point, particularly CTRX, which can be a little whippy. If you risked an advanced risk of $600, which is 30 cents, you would take a 2,000 share lot. Exit is at 45.70, and this is not even the full move on this. So the beautiful thing about trading in the beginning part of the day is you get a nice piece of the move, a nice chunk of the move when you take a position into this timeframe. Total profit was $3,100 in less than 15 minutes. And that's the way that I like to trade. I like to trade and have my day in as quick as possible. Again, the risk to reward is really great. 5.6, 5.6, that means for every dollar, you risk to be $5. And that's how you can risk $600 to make $3,100. So for $3,100, you say, well, how many hours of work did I have to do? Well, you add up the prep time, say you prep for one hour, anywhere from 30 to 60 minutes, plus 15 minutes in the trade. So one hour, 15 minutes of work to actually get paid $3,100 for less than two hours of work is outstanding. That's a very high pay rate. And at one of the highest rates per hour, one of three per hour is working eight hours a day. You know, if you were a doctor, if you were a physician, and you made $100 an hour, it would be around 800 bucks a day. It would be your pay. Even if you were a great physician, you make $200 an hour. That's still $1,600 a day, but you're still working eight hours. And instead, you can trade and make $3,100, which is more than that and work less than two. And that's one of the reasons that trading is such a great career once you learn how to trade because you get paid a lot of money for a short period of time. So if you break it down what your time is worth, you're actually getting paid a lot for the time investment that you put into trading each calendar day. And again, this one had follow through two. Beautiful follow through in this, meaning you could have played it the day at the gap and then the second day on down. Really nice. Nice show of weakness in this. So once again, nice follow through could do it for an overnight or a swing trade. Serious are already just playing around. I asked this question because a lot of people, I think, are back and forth and they say, well, I am serious. I am serious, they say, but they're not really. Because they're not really serious about learning. Learning, studying, like this girl here, she's studying. She's studying hard. She wants to get it down. She wants to learn it. She wants to be successful. She really, really wants it. So are you serious? Are you just playing around? You have to decide. But the bottom line is if you want to make good money, then you will get serious and you won't learn what to do because you won't make real money until you get serious. It's about having a certain level of commitment, which means you say to yourself, I'm committed to doing this. I'm committed to doing what it takes. I actually want to do this. And this is my goal. If you want to make a high rate per hour, and really that's, I mean, I would say $50 an hour or more, but if you want to make a high rate per hour in any career, you have to have a level of commitment. There has to have a level of commitment. Anyone that does any type of job where they have to go to schooling, like becoming an attorney or a physician, that's commitment. And in training, you don't have to go to school for four years, 10 years, eight years, but you do have to be committed, committed to take a class to learn what to do, to get it down, to get it right. It's a level of commitment that I think most people don't consider that they really need, and you do need it if you want to be able to work for less than two hours a day and have a trial where you make $2,000, $3,000. So commitment comes from learning. Learning what to do first and then trading. Many people say, well, I only have this much money. I gotta use this money for my trading account. Well, you're gonna lose that money if you don't know how to trade. It'll go pretty quickly in the market if you don't learn what to do. So you have to take what you have, learn what to do, and then trade. How long does it take for someone to learn? Well, it can take various different amounts of time because everyone comes from a different place. Some people have more time to study than others. Some people already know how to trade, read charts, but they don't know gaps. And so then they learn how to trade gaps with me. I've taught people that I've had no idea how to trade it. I'll never even looked at a chart or a candlestick. And I've taught people like that as well. So, and more than one actually. So I've taught people that I've had no experience in the market or trading, and I've taught people that are experienced in the market and trading. And I'd say the time level difference varies from person to person. I don't know your experience level. I don't know how long it'll take you to get what I have to teach. You might get it right away. That's your very bright. Or you might need to ask me a lot of questions. And that's fine. I'm here to answer people's questions, help to mentor them, help to learn, to teach them so they learn what to do. Because it is important for me, for people, to actually get this right. It's about putting a plan of action in place. You decide this is what I'm gonna do. I'm gonna do this, this, and this. And is it about getting serious? So first you learn the golden gap system. You learn how to rate the gaps and pick stocks that work. Then you learn how to read directional bias correctly. Many people do not know how to do this. Then you gotta prove you can be consistent.  And once you're proven you can be consistent, then you can increase your risk, and so on and so forth. So how much do risk per trade to make $20,000 a month? On average, to make $250,000 per year is an annual income, trading gaps, a normal risk unit of $500 per trade is suggested. Once a trader's experience with a system you can learn to do ads to the original position. Doing ads helps you make more money with less risk. And it will also help you get good at holding to bigger targets. And you can make more when you hold a bigger target. So though, you know, you don't have to. How much to risk per trade, $500, if $500 is your R, that means on the low end, this is very conservative. I'm being very conservative here. Your goal is three Rs. On the low end, if you risk $500, that's 1500 bucks. A lot of trades will make more than three Rs. So if you're in the mid-end range of six Rs, that's $3,000 in the mid-range, risking 500. And 10 Rs, if you hold something to a dream targetor, if it goes to the dream target quickly, $5,000 on the high end to risk 500. So in order to make $20,000 a month, you would need to make 40 Rs a month, or 10 Rs a week. That's very realistic, very realistic, because three R trades a week is nine Rs per week. That's 36 Rs per month, and it gets you that $18,000 a month, and you're right there. And obviously this is only three trades a week. There's five days in a week. I typically do one thing a day, to be honest with you, but some people do more than that, because there's more than one gap in a day. So you can even do two, two, three R trades in a day. You could make your goal in just one day, you could do two, three trades. Now I like to trade doing one thing at a time. Sometimes I do too. But it's not that often. But I really like to focus on one. So this is only for three days. Three Rs for three days gets you at your goal of making 18,000 a month, okay? And this is on the low end of the risk units. This is not making 10 R trades. This is, and you're gonna have some big trades in there. You're gonna have some big trades in there. This is what's gonna take you over the mark. But you have to learn how to do it. You have to learn how to do it. You have to learn how to do it. Most people are making that are even trading and making money or making one R, a half an R, or they're breaking even. You can't make real money like that. You've gotta actually be productive, profitable. You've gotta make it. You've gotta book the cash. It's about income generation. So once you become skilled at trading gaps and rating gaps, you can increase your risk accordingly. If you wanna make 200 to 250,000 per year and annual income trading gaps, a normal risk, you know, $500 per trade is adjusted. And once a trader is making over $250,000 per year, the sky's the limit. Because once you reach this level, you have a lot of future income potential and you can trade for yourself or also for other people as well. Trainers who make money have unlimited opportunities available to them. They can do lots and lots and lots of things. Then you can go get a job working for somebody else at a trading desk or a hedge fund or at a bank. So I suggest a plan of action for beginners is what? Take the golden gap course. Learn how to rate gaps and practice taking the entries, trading on demo for a week. Trade a live account with small size of a risk of $50 for one to four weeks. Trade a live account with medium risk size, $100 for one to three months, okay? To build the account and gain live experience. And then trade a live account with increased size of about 150 to 200 for three to nine months to build the account and gain live experience. And then after that, you can go to an advanced level. Now, if you find you're making faster progress, obviously you can shorten these time frames. I suggest looking at things on a quarterly basis when you're increasing your risk. I always suggest that to people. And the best time to do that is the start of an earnings season and they run quarterly. So the idea is to trade and trade every day that you can and gain the experience and be committed to doing it. You have to start somewhere. You have to make $1,000 a month before you can make $2,000 a month. You have to make three before you can make six. You have to make six before you can make 10. And you have to make $10,000 a month before you can make $20,000 per month and so on and so forth. This is just what it is. You know, you can't start just roll out of it and all of a sudden make $20,000 a month. You have to start at the beginning. Make $1,000, make $2,000, make $3,000, make $4,000. And this is how you do it, okay? So once you're averaging $20,000 a month, then your goal is to just build your base. Meaning you could make $20,000, keep 10 in the account, take 10 out, make $20,000, take five out, leave $15 in. I mean, this is how you're growing your account where you get more buying power too. The goal is then to just earn more to raise the capital balance in your account so you have more buying power to increase your size to make more money. So you have to focus on the right information to get this right, to make this kind of money and reading gaps is a skill you can learn. If you want to make money, you will pay me to teach you and you will learn it. You will happily pay me to teach you and you will learn it because if you do not take this seriously enough or want to invest money in a class, then you don't really want this bad enough, okay? If you don't want to invest money in a class or pay someone to teach you or take your time to learn it that you don't want it badly enough to make $20,000 a month working only 30 minutes a day. If you want to make this kind of high rate of return power for your time and your work and your effort, you will do what it takes to make it. Part of that is a level of commitment for yourself and that level of commitment involves paying someone to teach you and taking a class. And the cost of my class is $2,500. So it's one of these things where you have to decide how badly do you want it.  Reading gas is a skill. It's a skill you can learn and I'm teaching people how to do it. Here was the FSLR trade that flipped and went as along. This is back from last week. So the goal is to trade golden gaps. Number one, trade only golden gaps so you have a high rate of success because you want to make money in many, many, many, many, many, many days. High rate of success in the direction of bias. Two, get the best entry you can with precision quickly in the morning for 30 minutes. And number three, take size in the trade so you can make $20,000 a month or way more by trading gaps. So you've got to get to the point you learn what to do so you can take the size because obviously if something moves, for example, if you have 3,000 shares and it moves $1, that's $3,000. You have 1,500 shares and it moves $1, that's $1,500. So the idea is to take the size because the trades are the same. When someone's a beginner and someone's advanced, the things they're doing should be exactly the same. The only difference is the sizing and the risk amount. So you can really move up the ladder if you're getting it. So that's up to you. Again, the level of commitment. The golden gap course, this is a class that I teach. The golden gap seminar teaches a 26 point rating system to find the best gap to play each day. The seminar also teaches you how to play the stock on the day. The play is important because this is how you make money. And you want to make money through trading. That's the reason I trade. The 26 point rating system is the checklist you go through every morning when you're going through the gaps. Just go through it, you check, check, check, check, check and you add them up. The goal is to get 20 points or more. This gives you a high rate of probability that the stock will work. And it gives you conviction because it's detailed, precise, and complete. This conviction will help you to take size in your trades which will allow you to make more money. And once you know how to take precise entries you will be able to do it with size and conviction. Once you start trading with size, precision, accuracy, conviction and consistency you can make $20,000 a month and even more. It's the idea of once you start to actually do it have the accuracy, have the precision, have the conviction and the consistency. Trading provides a great lifestyle.  It's a really great lifestyle. I think this is one of the best things I like about this job besides the money. So empower yourself today, today to learn how to trade. If you wanna wait, you can. You're just putting off eventually something that may really make your life better. So you have to think about it. Where are you at right now? Where do you wanna be in six months? Where do you wanna be by January 2015? Because time is moving on and time doesn't wait for anyone and here it is. It's March, before you know it. It'll be April, it'll be Easter, it'll be spring. Can't wait for spring and you want to get going so that you can take advantage of the heavy trading times in the spring months. So the Golden Gap course is a complete system to use to trade. It teaches you all the pieces of the puzzle that you need in order to be a successful trader training gaps. It's called the Golden Gap course and it's a full two-day course on how to strategically find pick and play stops that are professional bearish gaps. Retakes are free online. The class is online. You can be anywhere in the world and take it. And retakes are free. I teach the class live. You can ask me questions live. I answer all the questions in the class. The dates are this weekend, March 8th and 9th from 9 a.m. to 5 p.m. Eastern time. Cost of the class is 24.99. If you're interested, sign up and register as soon as you can. I take a limited amount of people for every class. Then line is Friday, March 7th at five o'clock Eastern time. Email me at melissa at thestockswish.com. I'm also doing a special this month on the Trends course. The Trends course is a course on how to retrends and stock charts. This class is March 25th and 26th from 1 to 5. Cost of this class is normally 9.99. However, I'm running a special. If you wanna do both classes this month and March, great way to start off the year. You can do both classes for 29.99. You will save $500 by doing this. So it's a combo special that I'm running for the month of March. Email me at melissa at thestockswish.com if you'd like to sign up for both classes or one of the classes. Again, the Golden Gap course is this weekend, March 8th and 9th. So take the leap into a brand new life for yourself, which is to trade. To trade! Testimonial for amazing weekend. George wrote this and said he had an amazing weekend. He did the class back in February. He said, I never knew what my trading skills were missing until I took Melissa's course. I was lacking conviction. After Melissa's Gap class, I got up the next day and traded with conviction. Taking her class gave me the conviction I needed to make money in the market. I made $2,700 a Monday after the weekend class. I made the money back from the course in one trade and I never would have been able to do that without her. Best regards, this is from Jorge Quintero. He just did the class. He just did the class in February. So a great story here. And he said he had a great weekend and that was so nice of George. So who is this system for? This system is for anyone. You do not have to have a college degree to do this. You don't have to have a finance background to do this. You could be working at McDonald's and decide you wanna learn how to trade and better your life. So it really doesn't matter. You could be 20, you could be 75. This system is for anyone. Young, old, woman, man, it doesn't even matter. You can learn how to trade if you're committed to doing it and I can teach you. So it's about how valid you want to change your lifestyle and have a lifestyle of a trader, which is someone that does not have to work eight, 10 hours a day. Someone that makes a high rate of return for the time investment that they spend working and someone that has a financial security because the market exists and will exist for the end of time. It's not like working for someone else where you're gonna have to worry about if you don't get it over time. What if you get fired? Or even being able to take a vacation. You know, when you're a trader you can take a vacation when you want. It's a great, great life, a great schedule. And also you can make a lot of money trading. There's a picture of the Empire State Building I live in Manhattan from my building in the city. And trading has allowed me to be able to live here. Beautiful, beautiful, amazing view of the Empire State Building. So fantastic. And I love my life. I love where I live. I love New York. And thank goodness I figured out how to train and I'm doing it.  So spring is a great time to train. You can learn right now in March. Thank you so much everyone for coming today. If you're interested in the Golden Gap course for this weekend, email me at melissaatthestockswush.com. Thanks everybody. Have a great day.


There are a number of reasons why people should vote for the Congress and not for the parties. First reason, Congress party is the only party in the country that represents every single Indian person. It does not discriminate between caste, community, religion, state. We are everybody's party. Second, we are a party that defends the rights of poor people, defends the rights of farmers, defends the rights of laborers, defends the rights of small and medium businesses. And we are a party that understands how to bring harmony to this nation. We are also a party unlike most other parties that listens to people, has free and fair elections inside it and has a culture of listening and caring people. Have you ever heard of anybody dissenting publicly in the BJP, the YSR Congress? Can you dissent publicly in the Telugu desam? I don't think so. Dissent is not tolerated. These are dictatorships. The Congress party is the only democratic, open-minded party in this country. That's why you should support it. And I know you agree with it because you're smiling.


Hi, I'm Zor. Welcome to a new Zor education. Today we will continue solving certain problems. Well, sometimes I call these problems problems and sometimes exercises. In this case, I decided to call it exercises number three in this particular category of derivatives. Well, the reason is I was thinking that maybe if it's something which which needs some creativity, then it's a problem. If you just rely on the skills which have been already explained in the lecture, that's exercise, but obviously there is no clean separation between these two. So anyway, exercises about derivatives. So basically, we will just take some derivatives. This lecture is part of the website Unizor.com. It's dedicated to presentation of advanced course of mathematics for teenagers and high school students. I do recommend you to watch this lecture from the website because it contains very nice notes, very detailed notes for each lecture. And in addition, the website contains some other educational material. Also, people who can sign in, they actually can participate in the educational process, like taking exams, for instance. All right, so let's get back to business. Well, the first problem is actually kind of a joke. I was always fascinated if I can approach one particular problem in one way and get the result. And then I completely different way amusing and well, all of a sudden I got exactly the same result. Well, I think it's to be expected, but it's basically a confirmation that the world which we have basically created with all these mathematical objects is created correctly. I mean, if I can come with something one way and using basically another way, my result is different than something is wrong. If result is the same, it confirms that everything is actually glued together in the proper way. So my first problem is take derivative of the function sine square x plus cosine square x. Well, everybody knows that basically sine and cosine square is equal to one. So which means I'm asking to take a derivative from a constant function which takes the value of one. And as we know, the derivative of the constant function is zero. Well, question is, can I get zero from here? Well, let's see. Well, now the derivative of a sum is sum of derivative. Now, derivative of sine square, well, basically it's a chain rule. First, the outer function is square. So it's derivative of two sine x and then the inner function is sine and the derivative of this is cosine. So that's what it is. Now, derivative of this is again, outer function is this and derivative of the cosine is minus sine, right? So I have to put minus here and sine. And as we see, it's equal to zero. Two sine cosine minus two sine, cosine sine. Well, great. Everything is fine. The world is in harmony. Let's put it this way. And and obviously corresponds to whatever we expected. Now, somebody might ask can this be a confirmation that sine square plus cosine square is some kind of a constant? Maybe not necessarily one, but some kind of a constant. Well, absolutely not. Because all these rules about what is the derivative from cosine and sine, they are based on certain properties of sine and cosine and the fact that sine square plus cosine square is equal to one is much closer to the definition of these properties. And the definition of the sine and cosine much closer than taking derivatives. So it's definitely, it would be a logical loop if we will say that, okay, because of this, this is equal to constant. That's not the case, all right? So in any way. Now, and I have another again half joking, half serious problem which we will approach in exactly the same way. We will approach it from some kind of a classical way of taking a derivative. And then we will just realize that it's much simpler to do it in a different way. So my function is natural logarithm of e to the power of x. Again, by definition of the logarithm, this is supposed to be equal to x, right? Because what is natural logarithm is, what is the power I have to raise e to get e to the power of x? Well, obviously x. So we know this is x and the and the derivative of function equal to x is 1, right? Okay, fine. So let's just check if we will do it. If we will get it exactly the same way, if we will just use as a regular composition of two functions. So we will use the chain rule. First, the derivative of the logarithm is 1 over whatever is under logarithm, right? So it's 1 over e to the power of x. And then we have to multiply by derivative of the inner function. Derivative of e to the power of x is e to the power of x. And this is obviously is equal to 1. And again, the world is in harmony. Good. Next is something serious and boring, if you wish. But anyway, just for, well, this is exercises, right? So it's not a problem. So that's why we are entitled to have some boring exercises. All right. So our function is square root of x plus square root of x. And all we need to do is just to find its derivative. And we will definitely use, again, the chain rule for compound functions. So my outer function is square root. And we know that the derivative of square root, which is basically, remember, x to the power of 1 half, right? Whenever we have a power, it's 1 half x to the power of whatever it was minus 1, right? Which is minus 1 half, which is equal to which is equal to this, right? So that's my derivative. Okay, so my outer function is square root. So my first is 2 square root of whatever it is. That's derivative of the outer function. It should be multiplied by derivative of the inner function, right? What's derivative of the inner function? It's the sum. So derivative of x is 1, derivative of square root of x is, we just talked about it. And that's what we have. Now, you can maybe simplify this, but anyway, this is exactly what is, what the derivative actually is. Okay, basically, that's it. And all I wanted to make sure that we understand that we have a composition of functions. And whenever you have a composition of functions, we are just using the chain rule. The outer function, we take derivative of the outer function using whatever is under it as an argument. And then we multiply it by derivative of the inner function. But in this case, by the way, we again have another kind of outer function. All right, so that's kind of exercise on the skills which we have developed to take derivatives of the compound functions. Now, what's next? Next might require a little bit more So function is arc tangent of x. No, arc tangent of 1 over x. All right, so we have again one function which is arc tangent. And then we have as an outer function and inner function 1 over x. But to tell you the truth, I don't remember by heart what is derivative of arc tangent. So I have to derive it somehow first. So let me just spend some time and derive the arc tangent derivative. And then I will use whatever I have. So let's just consider function y is equal to arc tangent x. And we will find its derivative as the function of x because that's what I maybe I have to remember it, but I don't. So if I don't remember something, I'm trying to derive it, right? So how to take derivative of this thing? Well, this is an implicit definition, obviously. So what is arc tangent? It's an angle tangent of which is equal to x, right? So if I will take tangent of y is equal to x, right? Now I can take derivative of both. Now derivative of tangent is, oops, I don't remember derivative of tangent. That's a shame, right? Well, but I do remember, the only thing I actually remember with trigonometric function is sine and cosine. Derivative of sine is a cosine. Derivative of cosine is minus sine. All right, so how can I derive derivative of tangent? All right, so let's just consider another function. So tangent x, I have to take derivative. That's actually sine x divided by cosine x. Now, I do remember the derivative of the product. It's first time the derivative of second plus second time derivative of first, but I don't remember the ratio. I don't remember anything. I have to derive everything, right? So actually, I'm trying to kind of convey the message that if you don't remember something, don't despair. You can always derive something. If you know something else, derive the one which you don't know. So how can I derive this? Well, it's simple because it's actually sine x times 1 over cosine x. Okay, that's closer. That's actually something which I do remember. I remember what is the derivative of this, and this is a combination of two functions. 1 over, which I do remember, it's minus 1 over x squared because it's just the power, it's x to the power of minus 1, right? And the cosine, which I also know. So basically, I have reduced my problem to known problems. Okay, so the derivative of this, which is tangent of x is equal to first times derivative of the second, okay? Sine x times derivative of this. Now derivative of this is, again, it's a compound function. So the outer function is 1 over something, which is minus 1 over cosine square x, right? Because derivative of 1x is minus 1 over x square. This is minus 1, this is x to the minus 1. Right? So minus 1, that's minus, and then minus 1 from the power that gives me 2. Okay, so I've done that. Times derivative of the inner function. This is cosine, so derivative is minus sine plus. So I've done what? The first times derivative of the second. Now we have to have the derivative of the first and the second, which is cosine and cosine. So what's the result? Now this is 1, right? And this is minus and minus would be plus, so it's 1 plus tangent square x. One is from here. Now this is sine square over cosine square, which is tangent square. So the derivative of tangent is 1 plus tangent square. Okay, fine. I was supposed to remember it, but I didn't, which is fine. All right, so I've got that. So now I can use it here. So now I know that the tangent derivative is 1 plus tangent square, and that's why I can put this. Now if I derive, if I have a derivative from both sides, what happens? Derivative of the tangent is 1 plus tangent square of y times inner function, right? Y derivative. And that's equal to derivative of the x is 1. Okay. All right. Now what is tangent of y? Well, y is arc tangent, right? It's the angle tangent of which is equal to x. So tangent of y is equal to x, tangent of square, tangent y, tangent square of y is obviously x square. So what I have is 1 plus x square times y equals to 1, from which y prime is equal to 1 over 1 plus x square. So that's exactly my answer. No, that's not. This is just our tangent. Sorry about that. This is just our tangent. Now I have 1 over x. So my first my outer function, which is arc tangent, has derivative of 1 over 1 plus x square. But instead of x square, I have to put 1 over x, right? Times derivative of the inner function, which is minus 1 over x square, right? So that's my final combination. Now, let me just simplify it just a little bit because it's kind of obvious. It's equal to 1 plus x square and x square goes to the top, right? x square plus 1 and x square goes to the top. And now I have minus and x square here, so that's minus 1 over 1 plus x square. That's it. That's my final answer, right? Right. Okay. Next problem or exercise, if you wish. Well, incidentally, I have demonstrated that you don't really have to memorize everything because there is always some way to derive the formula which you don't remember. Like, I didn't remember the arc tangent or tangent derivative. I just derived it from something which I remember. And the only thing which I remember is the power function x to some power, including negative powers like 1 over x and sine and cosine, right? Everything else is derivable from this. All right. Next is... Okay, let me just talk about some weird function. x to the power of 1 over x. Well, I don't know how to derive it directly quite frankly. It's not easy because I cannot use x to the power of n where n is a constant. I mean, I know the rules about the power function. This is not a power function because the x is here as well as here. So we cannot apply our knowledge that the derivative of this is n x to the power of minus 1. This is absolutely not applicable to this because here n is a constant. Here x is the variable which is also moving, changing its variable. So what do I do? Well, let's see. If y is equal to x to the power of 1 over x, I can logarithm y is equal to logarithm of y x to the power of 1 over x which is equal to... this is just a power and logarithm with a power we know how it works. That's how it works. Okay, so what can we do now? Well, one of the things which we can do actually is to take derivative of both sides. All right, so let's take derivative. Derivative of logarithm is 1 over y times derivative of y, right, because it's a compound function. It's logarithm of y and y is some kind of a function, derivative of which we want to know and this is something which we want to know and 1 over y is because of the logarithm. That's a do-remember by the way. Derivative of natural logarithm is 1 over x. So this is 1 over y times this. Now this derivative of this is, well, again, that's simple. That's a product. I do remember how the product is working. So it's the first one times the derivative of the second plus derivative of this one which is minus 1 over x square and the first. Well, that's actually not bad because now we can say y y prime which is derivative of y is equal to y times this. We know what y is which is this and we have to multiply by 1 over x square. Uh-huh. We can take it out, factor out times 1 minus logarithm x. Am I right? Yeah, I'm right. So that's the final derivative of this function. Looks scary, right? But don't worry about it. It doesn't really matter how it looks. As long as we know how to derive it. Okay, and now another thing which looks even weirder than the previous one, our function is implicitly defined using the following and don't ask me how it looks. I don't know how it looks, but it's the function, right? For any pair of x, y, I can say whether it belongs to this function or it doesn't. I mean, if I'm just thinking about how to graphically put this, how to have a graph of this function, I know for sure, for instance, that the main diagonal where x is equal to y is always part of the graph. But there are some other pieces which might not actually, I don't even know how they look. In any case, so we have to derive, we have to find out how the derivative of this function looks like. Well, but here is a very interesting point. If we do not actually know whether this is a true function in a true sense of this world, which means for every x there is one and only one y, in this case it might not be the case actually. For instance, by the way, if you have, for instance, function which is given this way. Well, basically you can say that it's like two different functions. One is y is equal to square root of x and another is minus square root of x. This is not a true function, right? Because for each x you have two different values of y. If x is equal, for instance, four, then two and minus two works here, right? So that's why it's not really a true function. So I cannot expect the derivative of this function y to be expressed in real formula as a function of x. Most likely, I will have it also in this kind of a form, implicit form, right? So my function is implicitly defined, as well as in this, by the way. It's an implicit definition of the function. And that's why it leads to this type of not really functional property. So this is as well. So it's implicit definition of function. So I should expect implicit definition of the derivative. So let's see how I can approach this. Well, obviously, I have to apply logarithm to both cases, right? So logarithm of this is equal to logarithm of that. y times logarithm of x is equal to x times logarithm of y. Okay, this is easier. This I can deal with, okay? So this is exactly equivalent to this one. Now let's take the derivative of both sides. Okay, here, y derivative times 1x, 1 over x, that's derivative of this. Oh, no, I'm sorry. Derivative of this times this plus this times derivative of this. Okay, that's on the left. Here, derivative of this, which is 1 times logarithm of y plus x times 1 over y. Times derivative of y in the function, right? This is a three functions, basically. Outer is logarithm, inner is y, but it's also a function of something. And that's why when I'm talking about derivative of this thing, I have to use first the outermost function, which is logarithm, which is 1 over y. And then I have to have the inner function, right? Everything else seems to be fine. I hope. Now we can resolve it relative to y. Y prime, right? So what can we do? We multiply by y and I will get y prime times y times logarithm x. Well, actually, let's multiply by xy. So we'll have x as well here. Y times x times y times logarithm. Plus, this is y square, right? We multiply by xy. So x is reduced and y will be square. Is equal to xy, logarithm y, plus x square y prime. From which y prime is equal to this and this? Okay, let me just do it in two steps. So y prime times x times y times logarithm x minus x square, right? Equals to x times y times logarithm y minus y square. And now y prime is equal to xy logarithm y minus y square divided by xy logarithm x minus x square. I think something like this. Yeah, that's the answer. Now, obviously, it's not without problems, this type of a solution. For instance, I'm taking logarithm of both sides. Well, I can take logarithm only if both sides are positive, right? Now, are they positive? Well, that's a big question. Now let's take a look at this. We know that this type of exponential functions are defined only for positive arguments. So I have to really analyze what is my argument. And since I have two exponents here and here, I must have x and y both positive. Which is a good thing. Now, if they are positive, then both sides are positive. So logarithm is fine, no problem. Now here, I have 1 over y, and y is not equal to 0. Okay, so that works too, since both x and y are positive. So it's not like it's without problems. I just have to analyze that there is no problems. Okay, that's what I'm doing right now. So we have to be careful with this. So considering x and y and both positive, that seems to be okay. Now, obviously under certain circumstances, this thing probably might be equal to 0, in which case function will have an infinite derivative. I don't know. It's difficult to say, because I have absolutely no idea how this function in the denominator behaves. Because I don't know the y, which is defined by God knows how. But in any case, this is some kind of a parametric expression. I cannot substitute instead of y something, because y is not explicitly defined. So y is defined implicitly, and that's why the whole thing becomes an implicit definition of the derivative. And that was my last problem. I do recommend you to read notes for this lecture on unizor.com. Other than that, that's it. Thank you very much, and good luck.