Question

Given g(4)= -5, g ' (4)=2 find f ' (4) f(x)= [g(x)]^3

Answer 1

Hey craw c:

Answer 2

\[\Large\rm f(x)=g^3(x)\]To find f'(x), we need to apply our chain rule to the right side, yah?

Answer 3

\[\Large\rm f'(x)=3g^2(x)\color{royalblue}{g'(x)}\]Understand how that blue term showed up?

Answer 4

-1.25

Answer 5

sorry i always have a problem with internet connection with open study but so you took the derivative for g and replace the g(x) with g ' (x)

Answer 6

so is it 3(-5)^2 (2) ?

Answer 7

yes :)