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The Chain Rule

# The Chain Rule - x and n is a rational then or dx du x u n...

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The Chain Rule Section 2.4

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Thm. 2.10 The Chain Rule If y = f(u) is a differentiable function of x , then y = f(g(x) is a differentiable function of x and [ ] ) ( ' ) ( ( ' )) ( ( x g x g f x g f dx d = dx du du dy dx dy =
Thm. 2.11 The General Power Rule If y =[u(x)] n , where u is a differentiable function of

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Unformatted text preview: x and n is a rational #, then or [ ] dx du x u n dx dy n 1 ) (-[ ] ' 1 u nu u dx d n n-= Joke Time ♦ What do you call a hippo in a phone booth? ♦ Stuck! ♦ What did Leonardo da Vinci’s cow paint? ♦ The Moona Lisa!...
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The Chain Rule - x and n is a rational then or dx du x u n...

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