Here are some videos with examples of some of the recent topics we have covered (implicit differentiation, applied optimization, graph-sketching using f’ and f”):
optimization:
https://youtu.be/Zq7g1nc2MJ8?si=_EoWXIWtblyM_Xap
I like this YouTube channel PatrickJMT (“Just a Math Teacher”) for short math videos with a lot of examples.
You can see his entire “Derivatives” playlist here:
https://youtube.com/playlist?list=PLDE077A2EC488104D&si=UzFRI34C-km3P8j5
Here are a few of those videos which are relevant to what we have covered (and for Exam #2)–but look thru the playlist for even more:
https://youtu.be/6kScLENCXLg?si=HmNNywrwRtg9x8Vp
The YouTube channel/website 3blue1brown has a series of excellent videos on calculus which explain some of the topics we are covering in class.
You can watch the videos on their website, which includes additional written explanations to go with the videos–see the links below, or go to their Calculus page; or you can watch the videos via YouTube (videos embedded below).
All of these are worth watching, and will help you understand the ideas behind the techniques we are learning in class!
The paradox of the derivative:
Power rule through geometry and Trig derivatives through geometry (two separate lessons on their website, covering the following video):
Visualizing the chain rule and product rule:
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