If f(x) = -x -2 and g(x) = e^(-x^3-1), what is f'(g(x)) ?

2 Answers
Feb 26, 2016

f'(x) = -1

Explanation:

f'(x) = -1 + 0*x
f'(x) = -1 + 0*g(x)
So, f'(x) = -1

Feb 26, 2016

First, write down the composite function , then take the derivative with respect to x ...

Explanation:

f(g(x))=-(e^-(x^3+1))-2

Now, simply take the derivative with respect to x using the chain rule ...

f'=-(e^-(x^3+1))(-3x^2)=3x^2(e^-(x^3+1))

hope that helped