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This video is SUPER important. So many of the functions we work with are functions composed within other functions. For instance, if we have (2x-3)^3, that is a function f(x)=x^3 and g(x)=2x-3, giving us f(g(x)). Notice that both functions have a derivative. The chain rule shows us how to deal with both derivatives. The General Power Rule is just the power rule but taking the chain rule into account. Video Chapters: Intro 0:00 Not the Chain Rule 0:09 The Chain Rule 1:49 Decomposing a Composition of Functions 5:15 The General Power Rule 7:23 Practice 8:39 Up Next 13:33 This playlist follows Larson and Edwards, Calculus 12e. Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII34fmpCdgzu2hWQPJWmQ78n Slide Decks: https://bellevueuniversity-my.sharepoint.com/:f:/g/personal/kbrehm_bellevue_edu/EqwsSuftwlRCh63KfAj4tl0B9YQl0y6tNFA98GaAWg_W2Q?e=x8YWQ9
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