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

2 Answers
Feb 26, 2016

Answer:

#f'(x) = -1#

Explanation:

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

Feb 26, 2016

Answer:

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