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anonymous
 4 years ago
What is the f'(x) of f(X)=sin^3x
anonymous
 4 years ago
What is the f'(x) of f(X)=sin^3x

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Have you attempted this one yet ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[f(x) = \sin ^{3}(x)\] Did I write this down correctly? If so, try substitution. For example, let u = sin(x) and then take the derivative of u^3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I got f'(X) is 9x^2cosx^2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.03u^2 du/dx, yes. Now what is du/dx if u = sin x?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0In other words, what is u' if u = sin x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0What is the derivative of sin(x) ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Great, so du/dx = cos x So we have 3u^2 * cos x Substitute u = sin(x) back in and what do we end up with ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1357249368629:dw
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