Using quotes in a text you publish under creative commons
<p>Fair use allows quoting other texts (or images) as part of your text, but how does this interact with you publishing the work under a creative commons license that allows derivatives.</p>

<p>Whilst writing this question I actually found the answer (emphasis mine):</p>

<blockquote>
  <h1>May I apply a CC license to my work if it incorporates material used under fair use or another exception or limitation to copyright?</h1>
  
  <p>Yes, but it is important to <strong>prominently mark any third party material</strong> you incorporate into your work so reusers do not think the CC license applies to that material. The CC license only applies to the rights you have in the work. <strong>For example</strong>, if your CC-licensed slide deck includes a Flickr image you are using pursuant to fair use, <strong>make sure to identify that</strong> image <strong>as not being subject to the CC license</strong>. <a href="https://wiki.creativecommons.org/wiki/Marking/Creators/Marking_third_party_content" rel="nofollow noreferrer">For more information about incorporating work owned by others, see our page about marking third party content.</a></p>
</blockquote>

<p><a href="https://creativecommons.org/faq/#may-i-apply-a-cc-license-to-my-work-if-it-incorporates-material-used-under-fair-use-or-another-exception-or-limitation-to-copyright" rel="nofollow noreferrer">Source: Copyright by creativecommons.org licensed under a Creative Commons Attribution 4.0 International license</a></p>

fair-use