Question

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

Answer 1

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

Explanation:

`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