If $f(x) =cos3x$ and $g(x) = (x+3)^2$ , what is $f'(g(x))$ ?

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Answer 1 · 2016-02-23T01:08:52

First, find the composite function $f(g(x))$ , Then, take the derivative with respect to x ...

$f(g(x))=cos[3(x+3)^2]$

Now, using the chain rule ...

$f'(g(x))=-sin[3(x+3)^2]xx6(x+3)$

hope that helped

If f(x) =cos3x f(x) =cos3x and g(x) = (x+3)^2 g(x) = (x+3)^2 , what is f'(g(x)) f'(g(x)) ?