The following is a presentation of TFNN The power trading hour with your host David white Call now toll free at 1-877-927-6648 or internationally at<PHONE_NUMBER> now David white And welcome all to another excellent edition of the power trading hour It doesn't matter where you're at as long as you're here at this time The following takes place between 2 p.m. And 3 p.m. So what do we have going on today? Well for the most part if you're a Wycoff trader it is a retest of Friday's low and I'm gonna figure that you need about 15 billion shares to blow out today's low Anything above a close on the S&P cash of 5485 is a Probably a buy signal for the rest of the year. We still have What two hours left to go a little under two hours left to go and we'll see how that comes in, but I have already Picked up a position Hopefully the emails coming out. I think we had some problems with it Maybe it's out already But check the front page of TA your web page if you are a subscriber to the path of least resistance But that's it. I'm not gonna be sticking my neck out too far between now and the end of the year if I'm gonna get into something it's going to be with options and The reason why well, I'm gonna limit my Exposure in case anything really bad happens that hadn't happened already But we shall see but yeah, I bought some calls for Friday and as long as we close up above 4585 in the next couple of days. That's kind of the line in the sand for what we're gonna be looking at so I Want to bring up something that I learned very often or very early. I Should say from Tim Ord and he would repeat this a lot And he said high volume lows are not lows until they've been retested And I said that to myself about a hundred times only it took about a hundred times to actually get it through my head So I didn't jump on yesterday's big move higher Suspecting that we would come back and I thought yesterday morning It would just come back retested on a lighter volume, and then we'd go higher Well, it did and everybody had to get all hot and bothered they had to get all lathery. They had to get to all I can't use that word anyway They had to get all fired up and I think today is the day that they're gonna get shaken out now Do I think this is an entire market thing the answer is no It's all about picking the right sectors and the stocks in those sectors if you can But I think that there's at least a couple of sectors that looked Like they're probably on the green light till the end of the year if this is a low if not We'll take a small loss and move on but my guess is Like I said anything above 54 85 and you're off to the races anything above 4600 and you probably have a nice Christmas rally coming and is it gonna exceed what we had before? probably not I was gonna make some decent money if you're in the right stocks probably but There's a few things going on With the Fed and others, but I think what they're trying to do is wrench some of the excesses out of the market that they haven't to this point All I hear is we've got this new thing and this new thing We don't know anything about it and it could be a problem It could be much worse, but you know, we don't even have it here in the United States to study it So we don't know but it might be kind of just reminds me a lot of after 9-11 everything Someone would leave a ham sandwich out on a bench and everybody would freak out about it The market would dip 50 points in a heartbeat in the S&P's that was back then and two days later was all gone and In the chat rooms at that time we'd always say someone found another ham sandwich and That's kind of what it was. So, you know, can we still get that we can Options are pretty cheap still to this point for calls So if you want to play the long side not a bad time to get set up with those I think that there's some decent movement. And of course we got fun buying We also have something that a lot of people have been talking about and that is tax-selling now 85% of tax-selling every year is by the professionals on Wall Street. Their tax season is over today So I think a lot of people especially if you're a fund manager knowing that that kind of selling is coming in A lot of people would think well, you know what we'll just buy it as they're selling it. No No, I say I Say that what we're really doing is They're gonna wait until everybody's done selling and then they're gonna start buying They're not gonna boost the prices up before too much before tomorrow But that's it So many in the den says that I like Rick Santelli's approach pal did the exact right thing today Establish the hard line when there's a real risk And then have a position of back away from if the risk materializes Yeah, I think now that he knows that he's good for another couple of years He's going to make sure that he's gonna stomp out Frothiness before it gets too far And that's a bit so, you know if you're a company that desperately needs money And has to borrow it at a bank your interest rates are gonna go up If you got people wanting to throw money at you a Completely different story and I had this from the last last a secret recording From the last Fed meeting and I always thought this was so apropos Are you suggesting we throw money at the problem? precisely That's it. That is the the exact Motus operandi for the Fed and everybody else. We're just gonna throw money at any problem. We see but you know, he said some other things that were probably along the lines of Now that he said it the probably the low is in With saying that there continues to be shipping problems. Well I'm shocked. I'm shocked. There's gambling in Casablanca Generally when everybody starts talking about it, it's almost over. So I'm thinking that there's enough pressure We've started to see Like gasoline prices will probably come down now They were artificially high for a while because everybody thought that it was just one more Pipeline closure away from having no gas to anybody But any politicians eventually Will start going after the leader with pitchforks if they know they're not gonna get elected And I think that's what we started to see over the last week Went out for to pick up some lunch real quick No sign that any of the people at the gas pumps found ladders Bring the gas price down still 330 here in the free state of Florida We'll be back in a minute Are you grinding in the market but seeing little to no return or are you a successful trader simply looking to make your job? 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That's right Information having all the information gives us the perspective We need to place the right trades at the right time The TAS profile scanner is the premier market profile base scanner powered by its acclaimed TAS proprietary algorithms This feature rich scanner instantly filters over 2,500 plus global financial markets such as stocks ETFs Commodities futures and forex this powerful suite of tools leverages instant trade filtering and strategy formulation to show you emerging trades Before they happen for a limited time You can save $100 off your first month by using the promo code upgrade and you still get a 30-day money back guarantee So you have nothing to risk Level the playing field with the TAS profile scanner which you can find under the services tab at tfnn.com Sign up today Sharpening your skills as an investor is like getting better at playing a musical instrument You have to practice sure, but you also need excellent instruction from experts at tfnn You'll get advice and guidance from the authority and technical market analysis And it's not just dry tedious text either tfnn airs live financial content streamed live on tfnn.com and Tfnn's YouTube channel with Tiger TV live every market day from 8 30 a.m. To 4 p.m. Eastern for free each host is an experienced trader and gives their take on the market while taking calls and questions Live from around the world from the moment the market opens until the closing bell sounds Tiger TV has eight different shows with Expert hosts to help you make the right moves with your money watch online at tfnn.com or on tfnn's YouTube channel and become the investor you were born to be tfnn educating investors Call now toll-free at 1-877-927-6648 internationally at<PHONE_NUMBER> We return Of course Always history and then we'll get in some charts. I've been looking at As we said on this day in 1959 IBM delivers the first two Eight computers first two I don't know what happened there. It's supposed to be a mainframe computers One of the first commercially produced fully trans does this transistor eyes computer the 7090 and later the 7904 We don't want to confuse the two we're notably for being used for controlling the mercury and Gemini space flights along with many other Significant and government applications in the 60s some 7090s were even used through the 1970s and even into the 1980s And that was the first mainframe. I ever got to play with As they were getting ready to decommission one So I learned a lot about how the big iron is what they used to call it The mainframes the one that I played with Wade. I think 6,000 pounds with all the peripherals and stuff Took up of course a fairly large 40 by 40 maybe 40 by 30 room. It's pretty large had to be air conditioned And cooled. I had water chillers and all that other stuff But yeah mainframes before networking You really don't hear the word mainframe anymore before networking You kind of had to have everything in one box you'd have all the memory you had to have all the processors now with the almost a terabit speed Ethernet on the horizon Certainly even on desktop computers. You're getting a thunderbolt connections now Which are absolutely incredibly Fast You don't really need mainframes anymore. It's banks of computers with parallel Processing so they've kind of gone a little bit of the way of the dodo. Although IBM still sells what they call mainframes But on this day in 1959, they're really the first Transistorized computers come out that will work well That could actually do something and not just for research or playing with until they get to it but mainframes were really the kind of Product for many years that did all the billing for the phone companies and the electric companies and everybody else And of course they were made to do one job and they didn't change a lot Until they were forced to but hey No charts, huh? How could you actually do that? I'm actually showing I do have a chart Let's do this Do I have a chart now? Hopefully you say yes Because I thought everybody would be tickled by this thing I before he except when your foreign neighbor Keith receives eight counterfeit Beige slays from a weird feisty caffeinated weight lifter. I love it We're gonna go to Scott and Denver for Ali Baba. How you doing Scott? Well, I'm doing fine. How are you this morning? Another day in paradise. It's gonna be 76 tomorrow and sunny So I am set it's gonna be it's cold today only gonna hit a high at 73 So we're moving along Well good for you, I was hoping that you could take a look at that Ali Baba chart for me Okay, so go ahead. What do you what are you thinking? Well, how far down is this thing gonna go? You know everybody's trying to get out of China for a variety of reasons, right? Yeah, okay So when does that change? Does yeah is Jamie Diamond, right? Will Goldman Sachs and Morgan Stanley out lie out live that Chinese Communist Party Never happen So I don't know As long I mean there were three more things that happened this week and I want to bring up think one was a company is Website 10 cents or something 10 cent Who does a lot of I'm pretty sure it was 10 cent it does a lot of apps for phones We're told that they can't kick out any new apps for all the Chinese that want apps for their smartphones Without getting pre-approved by the Chinese Communist Party So You know Are you long this thing kind of stuck in it? No, I just have a put that I'm short on so essentially yeah, I'm long in some ways. Yeah, I Think you're gonna get to be able to get it one day I just don't see a lot of reasons out here now We were talking about a few things that I love trading this stuff that is more organic to the market like options expiration stuff that I know happens fun buying a lot of that kind of stuff and One of the things you have to look at is if you're in a downtrend now it is fairly rare to To find that reverse before the beginning of the year But stocks that have the biggest downtrends Tend to have the biggest bounces after January 5th So when you're asking me how far it goes. I don't know When is probably a better question and that's the first of the year You know, there may be something that comes out of this but The more that that Chinese threaten Everybody in fact, I think was a day before yesterday Maybe last if maybe on Friday The military said they're gonna probably double the spending on the bases that Diego Garcia and Okinawa To go against the threat but China is every day threatening to nuke either Australia or Japan or South Korea or something and they continue to be More authoritarian and totalitarian on their own folks. So I don't know When is that gonna turn around they did very well because they went with the capitalist society Now they're backtracking on a lot of that and I think they continue to go lower until they figure out that Having jobs and everything else is great. Of course, they're all about being and controlling So that becomes a problem, you know a kind of a problem for them, but I think it's not so much an issue With the company as if I was in anything from China, I'd have to be in Options I wouldn't want to have a lot of exposure To the downside in case they do something even more stupid than threatening to nuke everybody on a daily basis Okay, okay. Yeah, I appreciate that Okay, I was just curious with that anything to tell me from looking at the chart Let's go back here a little bit far But you hang on just a second Sure, and we'll talk more about another side You having fun trading the markets but having trouble finding like-minded individuals to discuss your trading and investment ideas with Become an apex predator in the trading markets and join the Tigers Den trading room only at tfnn.com The Tigers Den is an exclusive trading room where successful traders from around the world come to exchange trades and ideas Join the den and surround yourself with these sharpest minds in the trading world Subscribers to the Tigers Den are also the first to have their questions answered live on air and can privately chat with our tfnn hosts live during their shows Interact with other Tigers and Tigers as they share trading ideas news analysis and discuss the market action all trading day Subscribe to the Tigers Den risk-free with our 30-day money-back guarantee and become part of the tfnn trading community tfnn educating investors You could be making money off the stock market and if you're already making money off the stock market You could be making a lot more check out tfnn and tiger TV and get expert investing advice to give you the power to control Your financial future go to tfnn.com and find the newsletter for you whether you're into trading gold Metals futures currencies or options you'll get advice and analysis to help you seriously get ahead tfnn also features trading services with a 30-day money-back guarantee for new subscribers as well as tfnn's Tiger Den trading room trading software and educational webinars for all trading levels and make sure you check out Tiger TV for free on tfnn.com or tfnn's YouTube channel for live financial content from 8 30 a.m. To 4 p.m. Eastern on market days stop watching on the sidelines while other people get rich and become the investor You were born to be tfnn educating investors tfnn is excited about our new software charting program the art of timing the trade charts in Collaboration with Tom O'Brien and using his best-selling book the art of timing the trade your ultimate trading mastery system David White has Programmed an outstanding piece of software that will complement any traders methodology Using this first of its kind program the art of timing the trade charts allows you to scan thousands of stocks for Fibonacci Formation setups including Gartley's ABC's butterflies and much more the art of timing the trade charts is designed to help you when Scouring the markets for stocks just beginning to form the trading patterns that many investors spend days weeks or even months Searching to find and right now. We're offering licenses available at only $79 a month. We are so confident that you're gonna love this new charting software that will even give you a 30-day Unconditional money-back guarantee don't miss out on this incredible new piece of software Get your copy of the art of timing the trade charts today by visiting tfnn.com This segment is brought to you by think or swim for more information Just click the think or swim banner on the front page of tfnn.com with Scott Denver Looking at some fairly long term Fixers of Alibaba and you've really just gone to this gap Is extended back to June 8th of 2017 and the downside on that gap was 125 64 You're almost to that right now So you're about the best support you're gonna get So if it goes in the lower that's just yet You've already blown through really the last one under 130 that had 25 million shares. You already have 25 million shares already today. So it doesn't look good Did have a question from one of our gentle Listeners about if this is a double repo pattern on the way back down and it is it's not a textbook one But it gives you kind of an idea what I look for and that is a bunch of days on the way up Generally 10 15 handful of days that close below a three by three a handful of days above and then you get a candle That goes through the three by three very sharply the next day is the clincher out here With a huge gap down and that's generally how those double repo patterns Kind of work. So, you know, you kind of want to watch Out here, but you're probably about as good as it's gonna get for support So I don't know what you want to do but right underneath that would be the next stop because Underneath that I think it's 85 Okay good to know I Appreciate you looking at that. Hey, I mean, it's a you look at one more chart with me. Sure ST and E stone what do these guys do I Think they're IT services down in South America. Ah Coconut telegraph Okay stone Financial technology solutions to merchants and integrated partners to conduct electronic commerce across in-store online and mobile channels in Brazil Okay Seems rather limited, doesn't it to just one company. I mean one country Yeah, I do Yeah, seems rather limited Of course, what language do they speak in Brazil you got me Spanish Portuguese? I don't know Portuguese So you got a technology company that literally has two markets Brazil in Portugal For a language Ah So what are you thinking out here that they're gonna branch out into English or something I don't And you can look at a chart and tell me Support next support you see any any stopping this thing come on the downside I mean you've already broken through the previous lows that go back to December 24th 2018 Is there anything even farther back than then and I don't see I don't think though now, you know, you broke through all the lows I Don't I don't understand the idea of having a tech company trying to Go up against a lot of really big companies now No matter what they're doing whether it's Finance or anything else. It's very tough to be on your own And if you're on your own and all you do is Portuguese You know, it's not like there's that much growth past that But The whole thing the stone company doesn't sound like a Portuguese Brazilian company either So I didn't want to find out more about what's going on in it But okay, no, I'm not a big fan of either one of these because they're easily All you got to do is hire a couple of people that speak Portuguese and do whatever you do in the rest of the world in Portugal, you know, maybe you've got maybe it was made as a company to get a buyout You know and get all the people that speak Portuguese there and move your product into it Maybe that was the whole idea this thing going to 95 That now that it's 15 was that it was going to be a buyout candidate But I'd have to research a lot more about why this company is doing so poorly Other than the given that, you know, things aren't going well in Brazil, but with a Crew price is higher. They should have actually turned this thing around a bit and have not so none of that's good I don't like the limited exposure Without deep diving into the company I don't like the the limited exposure to a single language if they were Spanish Then they could go, you know, what to about a third of the planet Maybe a fourth. I don't know what the but it's probably close to that, right? So yeah, not a big fan when I'd look at it from the 30,000 foot view Gotcha, I tell you what brought this to my attention I think Berkshire Hathaway at one point owned a percentage of this company Yeah, it looks like they got out So yeah, yeah, okay. Thanks for the call Yeah, appreciate it Dave you bet Okay question earlier What's the Point of big tech with the Chinese government I don't know they've bought everybody including some senators Some sons of the highest ranking officer in the country You it's not a day that you don't go by and find out more of that stuff I don't think they quote quote have anybody that's a member here in the United States Just people that are going along to get along I do have to give a nod of the head a tip of the hat to the one NBA player who's calling everybody out on supporting Companies like Nike who use slave labor in China But to me it just smacks of a great deal of when we've dealt with other big things in the past World War Two There were all kinds of people trying to sell stuff to the Nazis IBM was one of the biggest ones they almost went under on that if we didn't need them for the war I think they would have gone under other big folks What was the guy that Lindbergh he he was kind of the Michael Jordan of his time Still right up into the war, but he was a big Nazi promoter and that cost him just about everything um, he ended up flying and teaching people to fly uh during the war effort and Kind of rehabilitated himself, but I think there are a lot of people Uh the long term they're on the wrong side of history uh backing uh communism and I think eventually it all works out Uh in the wash, but uh not all the time Is it going to be for the good? We'll be back Yeah airness chance or freedom Yeah be back Are you in the market for buying or selling real estate in the bay area? Including the surrounding st. 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That's tfnn.com and hit watch tiger tv We return uh, we've got uh an email from wane us uh Bntx what is my thoughts on this? You're in an uptrend, uh, even with the worst things that happened It has not violated that uptrend If you're long this thing you stake it now you you stay on it If it breaks below the three by three or nine day, then you're probably out but Down today on about half the volume of two days ago Uh, that's friday if you live in lutz florida So, uh, if you live in the rest of free florida Then you don't need to know that Anyway, uh half the volume on a pullback here and I Think this thing looks like it's headed back to 464 um It's hitting against resistance right now Uh, but uh, if it can break through I think you're going back up to the highs I don't know what they do or a lot about them, but there's nothing in here Uh that says even on a horrible day Um that there's a lot of selling in it Uh, but you do have a big problem there at 380 370 With the existing folks that want to get their cash back But you break through that you got 464 Okay, another question uh from me me about The tlt Is it going higher? I suspect not but that is a preposition Are prepositioned on The market going higher right now and sucking some of that money back in we need to close above 45 85 and we're around there right now in the last dick So the question is whether or not we can close up today but that would uh That would be interesting, but uh The fed has pushed more cash In the last four days than they ever have At the same time they're telling everybody that there's a problem and to be worried So And they're gonna and they're gonna taper so they're doing one thing on one hand and doing something else on the other hand So Which is the truth?  My guess is that uh Some of that money comes out of the bonds that goes back into the uh markets, but we'll know today or tomorrow But I don't see a lot out here in some sectors that says that uh, even if the the s and p does pull back Uh, there's a lot of downside after today again a lot of good features, uh for saying that the risk reward Does not get any better here one. You're done with the tax selling season. You're done with uh the uh bonus season Uh for uh, uh wall street You've got maybe some folks that do some tax selling On the retail side But uh, if you're doing well I don't see there's that much Out here that says that the last month of the year Uh is going to be a problem now China invades taiwan You know not uh, uh, you know, do I give it a high probability? uh over 10 percent the answer is no But probably I had it at five percent before so maybe Seven and a half percent. So i'm going up a little bit on my bayesian interpretation of the odds um, you know we got uh An unfold moon A dark moon a new moon is what they call it and that's uh, just in a handful of days if they're going to do anything That'll be it. Um, maybe everybody thinks that's going on maybe the everybody thinks the russians Are going to invade the ukraine after we didn't do anything last time Um, you know, there's a lot of things that could go on that could blow this up As I said if I was going to be long or short in this market I think the only prudent thing is to be using options if they're too expensive move along and find something else Uh, but uh, the easiest way to limit the huge swings that we're getting 60 70 80 90 points in the s and p Is to go to the option so you know Uh, what your limit is going in eight seven seven nine two seven six six four eight And uh, yeah, you think they're really gonna want to uh, I'll get in front of this for the olympics. I don't think so I think they want to they'll probably wait until after it if they are going to do anything So again, I'm thinking there's a lot of worries a lot of different stuff Uh, people are sounding alarm on stuff that they have no idea of Happening and I think there's a lot of reasons, uh, that that is That is that uh, you know, especially as I've been calling it lately the vaccine industrial complex I think there's a lot of folks out there that still want to squeeze some money out of the government Uh, there's a lot of money to be made And that doesn't always end up in being the truth imparted to the people getting, uh, those vaccines And the necess and the need to get them Hared somebody say something was it today or yesterday. He said, uh, Two years ago three years ago cdc said something I would have just taken it to the bank but today Yeah, there's a lot of reasons for them to figure out And for the stuff they say And maybe it's not as good as it was Uh, a few years ago. So I'm kind of in that camp of a more Missouri and now you got to show me Uh, the data and when you say it's going to take 50 years to get the data Uh, to you so you can look at it Yeah, I wonder what's underneath the hood of that automobile Uh, I'm we're going to mix some metaphors here buying a pig in a poke And I bet most people don't know what buying a pig in a poke is but that's buying it in a burlap bag And uh, we'll see that<PHONE_NUMBER> you still got time to email me. Uh, anyway tlt It's all about the clothes today if we blow out 30 points lower or something Um, then yeah, you could blow out 156 in the tlt My belief is that the reason that they put All that cash into the market the last well really starting last wednesday Uh was to have a lot of this cash So people could buy the dips and right now still kind of hanging out the in the bond market But as that if you see the tlt start heading down a little bit That means probably there's cash coming out and that's going to go into the equities And probably into the equities that everybody knows the best And of course there's not one that is more than a bigger shining city on the hill Uh than apple on a day like this, which is still higher Uh if retesting the previous high and the volume is not that bad 117 117 million you got 107 already so Again a apple christmas i think is what a lot of people are betting on from best buy It's not going to help best buy Uh buy those earbuds What apple was talking about buy a new iphone They want Sharpening your skills as an investor is like getting better at playing a musical instrument You have to practice sure, but you also need excellent instruction from experts at tfnn You'll get advice and guidance from the authority and technical market analysis And it's not just dry tedious text either tfnn airs live financial content streamed live on tfnn.com and tfnn's youtube channel with tiger tv Live every market day from 8 30 a.m. To 4 p.m. Eastern for free Each host is an experienced trader and gives their take on the market while taking calls and questions live from around the world From the moment the market opens until the closing bell sounds tiger tv has eight different shows with expert hosts To help you make the right moves with your money watch online at tfnn.com or on tfnn's youtube channel And become the investor you were born to be tfnn educating investors You might think that if you want to be successful at trading in the stock market You're going to need a crystal ball after all it's impossible to predict the future, right? 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That's<PHONE_NUMBER> Catch Tom O'Brien professional trader and educator founder of TFNN Also a special guest on CNBC Tom will bisect and dissect the markets The Tom O'Brien show next on TFNN As we return we get ready to wrap up another Wonderful exciting power trading hour and of course Watch and see how the clothes comes in I am I'm not outrageously bullish, but I do think that we are probably going higher in the short term Really bring in fun buying tomorrow in earnest exiting tax selling for the street guys Who's taxable year ends today? We've got some other stuff going on. We've got the Fed shoving more money in this market than ever If it does turn around we're probably going to have a fairly Quick and sharp move higher Over the next few days probably sparked by some of that fun buying So, you know next week could be I'm wearing a frown This week. I'm trying to turn that frown upside down Thank you the market probably has a couple of days Maybe we don't get what we want But it's probably as close to a free roll the next two or three days with all the cash coming in Fun buying everything else probably the worst maybe a little down Probably the best a whole lot higher. So we'll see how today ends up But you know, you got a lot of signs that either the day or tomorrow Are lows in this market? So we'll we'll see that What else do we have going on out here volume is pretty good about nine billion shares But again, it's not going to be 15 billion shares at the end of the day It's going to be probably 11 or 12. We had nine on a half day on friday So if you extended that out to like 15, we're probably going to come in with lighter volume For a comparison from friday on just the amount of hours we came out with But again, we pushed down. There's a little enough stocks out here without volume Um, this is the retest So we'll probably know fairly quickly. This is not something you got to hang around a long time It's either going to retest and do well or it's going to fail Um, that's pretty much it so when you can not when you have to We'll see you here tomorrow same bat channel same bat time


Hi, and welcome to another example of using the chain rule. In this video, I'd like to go back and find the derivative of this function. C of x equals the square root of x cubed minus two. And I mentioned that function in the review video for this section. So let's find c prime of x. Now this isn't as straightforward as it sounds because we have a lot of rules in front of us for taking derivatives. And we need to be careful to select the right approach. So let's first of all think about why the chain rule would even apply here.  Now how do I know it's a composite function, you ask? Well, hopefully we're getting good at spotting composite functions at this point but if not, here's an easy way to check. Just pick a value of x in the domain of the function, like in this case x equals three. And just evaluate the function at this point and pay attention to the processes we use. In this case I have to substitute x equals three and then I have to go through two stages. I find three cubed minus two first. Then I take the result of that and find the square root of it. So the fact that finding c of three took two distinct stages. I'm evaluating at the x cubed minus two function. And then running the output of that through the square root function means I have two functions that are linked together. That's a composite function. So this function again is really two functions, x cubed minus two on the one hand and then square root of x. They're chained together, so we do one and then we do the other. Since c is a composite to differentiate it, I must use the chain rule. So here's a restatement of the definition of the chain rule. And I have a concept check for you. For this particular function, what function plays the role of f and what function plays the role of g in the chain rule formula? So pause the video and think about this. Look over the options here. Select the one that works the best and then come back with your selection. So the correct answer here is b. And for the reason, just think back to the little thought experiment I used for determining how c of x was composite in the first place. That was by evaluating c of three. When I did that, I had to compute two functions in a particular order. I first had to find three cubed minus two, that was the first function. And then I took the square root of the result and the square root was the second function. This tells me that the quote unquote inside function, which I'm calling g of x in the definition of the chain rule. That's the first link in the chain is the function x cubed minus two. And the outside function, or the second and final link in the chain, is square root of x. Choice a is not correct because this selection of f and g gives the wrong function when you compose them. In this case, f of g of x would be the function x cubed minus two, with square root of x plugged in. And that would give me x to the three halves minus two. And that's not my original function c. So choice a is not correct and choice e is not correct either. Choices c and d are not totally right. But if you selected one of them, you're not totally wrong either. We'll come back to that in just a minute. For now, let's go over to my handwriting slide and let's find the derivative of c of x using the chain rule. So here we are, we're going to take the derivative of radical x cubed minus two. And we've identified that this is a composite function, and that's the first and most important step in performing this derivative calculation because that's going to tell us what rule to use. It's a composite function, and in the language of the chain rule, we decided the g of x, which is the inside function or first link in the chain was x cubed minus two. And the outside function f of x, which is the second link and final link in the chain is radical x. And it's going to be helpful to rewrite this as x to the one half power because we have some derivatives coming up. So in using the chain rule, we are going to just first of all write down the definition of the chain rule, which says that c prime of x would be f prime of g of x times the derivative of g. So now it's just really a matter of computing all the ingredients to this formula here that I've written down and putting them in the right place. So let's do that off to the side. Here is g of x, and so g prime of x is quite simple. That's just three x squared, and f of x is x to the one half. So therefore f prime of x is one half x to the minus one half. So now we're just simply going to assemble all the pieces according to what the chain rule tells us. Now what it says is I have to take f prime, which is this over here, and put not x into it, but g of x into it. So I'm going to write f prime, but leaves sort of a blank here for the input. There is the basic formula shape for f prime of x. And what I'm putting into this is not x, but it's g of x. It's the original g of x I have right here. So let me actually keep my green and put x cubed minus two right into that. That is f prime of g of x. Secondly, I would need to multiply this by, that's a dot there for multiplication, times g prime of x. And that's right over here, that's three x squared. And that's the basic derivative here. I'm just going to do one cosmetic algebra step here, not really to simplify, but just to make it look a little bit nicer. And that is I have a one half and a three and an x squared. I'm going to write this as three x squared divided by two radical x cubed minus two. That's just rearranging some of the pieces here. But the real derivative is done right there. And again, what's important about this is, first of all, noticing that c is a composite function in the first place, and then pulling it apart in the right way. So we'll know what the inside function is and what the outside function is. So I said that earlier, if you had selected c or d in this concept check, you wouldn't have been totally wrong. Now what I mean by that is that for both choices of f and g in these two options, you do actually get a correct decomposition of the function c. And choice c, for example, f of g of x, if you compose them, would be square root of x minus two with x cubed plugged in for x. And that does actually give you the square root of x cubed minus two. And this also works for choice d. So there's more than one way to decompose a composite function. However, when we think about the chain rule, notice that eventually I will need to take two derivatives, the derivative of f, the outside function, and the derivative of g, the inside function. If I chose f and g so that it's not easy to differentiate one of these, then I have messed myself up. For example, in c, when I go to differentiate square root of x minus two, well, how would I do that? This is another composite function, and I would have to use the chain rule a second time. And that's not very easy. Likewise, in d, if I chose this selection of f and g, I would need to take the derivative of square root of x cubed minus two. But if I knew how to do that, then I wouldn't be doing this problem in the first place. So although a, I'm sorry, although b and c and d all give correct decompositions of my function, only b is the best choice for doing the chain rule. So we're gonna choose f and g in the chain rule, in other words, so that not only is the composite correct, but also the derivatives involved are easy. Thanks for watching.


Hello, this is the video about three effective tools for e-learning Here is the list of three essential tools for e-learning first is we need a virtual classroom That is we create a classroom environment through electronic devices internet and other platforms Here we are going to discuss about Google classroom As a virtual classroom There are other platforms like moodle, blackboard and null where Large amount of money is needed, which will not be suitable for us Google classroom with certain restrictions They are giving it for free Then the second tool is going to be the survey tools The most commonly used survey tool for learning purpose will be the Google forms The third one is the meeting app through which we interact with the students face to face Here we will be discussing about the zoom app, which is most commonly used Meeting app So what can we do with Google class? through Google class classroom Both teacher and student can communicate collaborate. They can create and manage classes They can teachers can give assignments students can do it submit it grade it This grading can be done manually or automatically and If the Google classroom account is linked with G Suite accounts, then balance can get the notification of their progress assignments and Reminders for the assignments, etc So now let me show you how Google Classroom appears and How it works all this application all these three applications both Google Classroom, Google Forms, Zoom app these three Combo is available both in desktop and that is available for PC and Mobile apps are also available. So let me show how Google Classroom works For so functioning of Google Classroom you need a Gmail account so through which You can see the tiles here clip these tiles and Down you can see this Google Classroom icon click on it Then it will open So when you open it, it will appear the screen will appear like this So this plus sign indicates create or join a class if you are a teacher You just create this class if you are a teacher student then you have to join this click on join this class and Through this class code if you enter a class code of the particular class you can join the class So through which I'm going to I'm opening the window which we are having as a classroom So here we are the teachers and here are The students so this is the list of students through which what we can do is we can select one student and we can mail that person Personally email that person personally or we can click click on this and Select all the students and we can send email reminders to the students. So this is the Main page of the class work page here if we go to this create we can create assignments This We can ask a question. We can share a material. We can reuse a post which is already used in some other class Then we can create a topic discussion and this quiz assignments can be done This for this quiz assignment. We need Google Forms. That is our second tool that is a survey tool Google Form That is coming up. So Now This is the stream I think this is our class code. So if we click on this, it will be displayed in the classroom In your real classroom. So if the student enter this then they can join this class So now This is the example what and all we have shared and with this with our class so In class work we can Open this. This was the assignment which We gave and The best thing about Google Classroom is that when we create an assignment we title it as Homework and We can just assign it or any as for that matter assignment or announcement We can directly assign immediately or we can schedule it in a particular time Suppose if we want to conduct the test on a particular time or make announcement at particular time We can schedule it. This is the best part with the Google Classroom. So let me show how Google Forms works So if we click on forms in Google, it will automatically give this forms So through this forms you can go to this form Google Forms click on this Google Forms Now we have template gallery Where we can use already existing templates or if we want a new form Now Google Forms opens like this. So we have Question like this. So we can have this kind of Questions asked here. So this is the usual Google Forms. You will be familiar So if we go to settings and if we make it as a quiz Then it will it can be used easily in the classroom. So we here we can see whether We can decide whether we can release the grade immediately or Later later after the manual review. So these two options are possible then Here in presentation we can this is about Google Forms. We can Select any one of these options and We may or may not collect email address we can limit to only one response if it is a exam and And we can use this option edit we can give some time to for them to read and edit their answer Till we hope till the quiz is open So that is about Google Forms So here is how to use zoom application So when we type with zoom zoom meetings will appear. So just click on this If you want to join the meeting you can directly join without signing in we want to host a meeting then you need to Sign in so there after signing in You want to host a meeting means If you click on that host the meeting then there will be a code Then if you send that code to the people People can join easily So here I have some videos to show How our presentation so through this presentations We can share our screen students can scribble. We also can scribble This is So this is one video presentation where we share our slides have the class and This is one more presentation I So it will the screen will appear like this for the students so you can share your screen you can share your presentations the teacher can Teacher will be Teachers face will be like this Students if they want to show their face they can show if they don't want they don't want they they need not show If they want to ask scribble the board they can use they can play with it So you also can try these apps in your settings Hope this presentation was useful for you All the best for implementing these tools in your work setting


Welcome back, in the previous segment we discussed how memory is allocated for an array and we discussed what the value of, what value the name of an array has and we also discussed what type the name of an array has. In this segment we are going to discuss how a computer interprets something like a name of index. So the first observation or the first thing that I should tell you is that square brackets are actually considered to be a binary operator by C++. So we could have written this expression as a name square bracket index. This may look, make it look more like an operator expression. Because we are familiar with putting things inside brackets, we choose to write it as a name open bracket index close bracket. But really the interpretation of C++ is sort of like this. So what exactly is the interpretation? So first of all a name and index are the operands of the operator and a name of index means the following. So it means, this expression means a variable and which variable? The variable which is stored at a name plus s times index where s is the size of a single element of the type that a name points to. So this is a little bit of complicated definition and I am going to give an example which will make it clear. And you may say that look when I am doing this, interpreting this expression or whenever I write, whenever I write in my program a name of index, does the computer actually compute something like this? Yes it does. So it will multiply the index by something and then add it to the origin, to the name. So this is not really entirely surprising because we said that C++ is going to give you a region of memory and the region is going to start at a name and then you are going to have element 0, then you are going to have element 1, you are going to have element 2 and so on. And this distance is going to be the size of each element or it is this s and therefore if I want to get to the ith element I should know how much forward I should go and how much forward should I go, I should go forward s times whatever that index is, that is it. So that is really this calculation. So you have to note that a single multiplication and addition is done no matter how large the array is. So this is why an array is often called a random access data structure. So you can get to any element of that array in essentially the same amount of time by doing just a single multiplication and addition. So here is an example. So this is our old array Q. So we defined it by writing in Q4 and we said earlier that these are the addresses used for Q0, Q1, Q2, Q3 and we said that the name Q has value 4 and its type is n star. So let us take one of the elements say Q3 and let us see how the computer or how C++ views Q3 and whether that view matches our view. So what is Q3? So we said that first of all it is a variable. So Q, this indexing operator 3 is an expression and the result of the expression is it is a variable of the type that Q points to. And what does Q point to? Q is n star, so Q points to an n. So Q3 is an n which is good because we are expecting Q3 to be an n and Q has type n star so Q3 has type n and it is stored at address Q plus s times 3 where s is the size of a single variable of the type that Q points to. In other words it is a variable of type n which is what we already said and it is stored at Q which is 1004, s which is 4 times 3, so 10116, so it is the starting address. So it is Q3. So it is indeed what we think of Q3 as what we think of as Q3. So the computer's view and our view actually do match and it is not a surprise because I told you more pictorially how the computer gets to the position in memory where Q3 is or which element of which variable in memory. So it needs to get to that position in memory and that calculation clearly should require addition and multiplication. So how a computer gets to an n address, the index is multiplied by the element size and added to the starting address to get the position in memory where the variable is stored. And whenever you write a name of index that variable which you got to by doing this address calculation is the one which is considered the result of this expression, the result of evaluating this expression. Now in light of this discussion of how a name of index works, let us try to see what index out of range means. So here is our old array Q and suppose we execute Q of 10 equals 34. So what would this do? So if we mechanically interpret as per our rule and which is how the computer interprets it. So it is the variable of type that Q points to stored at address Q plus 10 times S where S is the size of a single variable of the type that Q points to. Again this is a mouthful but we know how to interpret it now. So it is a variable of type n because Q points to int, so it is a variable of type int. It is stored at Q plus 10 times S, so Q plus 10 times 4 equal to 1044. So this is the position where Q of 10 would have been had Q actually had 10 elements but Q does not have 10 elements. So this address is somewhere beyond the region allocated for Q. So 34, if you execute this statement 34 will get stored in some strange part of the memory which has nothing to do with Q. So that is why it is bad to have indices out of range. So some other variable will get destroyed. The other way is also bad if I write X equals Q of 10, what will happen? It will pick up the value from this 1044 and so X will get some strange value, who knows what value it gets? So again it is a bad idea to have an address which is out of range and now you see what C plus plus will do in this cases, in such cases but there is a little bit more to be said. If you read or write from an improper address such as 1044, you may store data into some wrong place, you may read data from a wrong place and sometimes C plus plus or your computer hardware may say that look some addresses are protected, why are they protected? Because they may contain code and you do not want programs to be writing data into the code region of memory or the program region of memory. So if your program tries to do that, then the hardware will raise an alarm and it will cause your program to abort. So any of these things could happen and so therefore make sure that the index is in the correct range. Now some programming languages prevent index out of range by explicitly checking. So the moment you write A of i, the language will have additional code which it generates itself, you do not have to write it, which will check first whether i lies in the range 0 through size minus 1, where the size is the size of the array in question. If it does not, then it will not make that access, it will just print an error message saying that oh you made, you gave an index out of range and the program will stop. Index checking is not done in C plus plus, why? Because it takes extra work, C plus plus wants to run very fast. Of course, C plus plus does not want wrong answers but C plus plus says, the C plus plus designers believe that it is the programmer's job, you have to ensure that your index is correct and of course you can do that, I mean you have to think a little and you have to be careful but that is your job, that is what the C plus plus designers believe. So here is an example, so we have this code and let us see what it does, so when you come to the first statement of this code, this statement will cause an array queue to be allocated in memory. What happens next? The variable r is created, remember type of r is instar, so it is meant for storing addresses. When you execute this, r will get the value q, what is the value of q, it is the starting address. So what will the value of r be, it will also be the starting address. So at this point r and q will have the same value, so now what happens when you execute this, when you execute this, this expression, since r has the same value as q, this expression is as good as q of 3, so 5 will get placed in q of 3, so when you do this printing 5 will get printed and if you print r of 3, this is not, this is also going to refer to q of 3 and so again 5 will get printed. So r and q have the same value and r of 3 and q of 3 denote the same variable and therefore this will end up printing 5 in both cases. So what have we discussed? So we have discussed that a name of index is an expression with square bracket as an operator. When the index is in the range, the expression when evaluated tells what variable is meant. If the index is out of the range, then the expression does not denote a valid variable and this calculation happens fast, there is only an addition and multiplication to be done and it happens in time independent of the array length. A name of index is a varied expression if a name is a pointer. Next all these things are going to have some bearing on how you use arrays in function calls and that is what we will see in the next segment. We will take a break.