Suppose f(−2)=4, f′(−2)=−9 , and H(x)=(1+f(x))^3. Find dH/dx|x=−2

Question

H′(−2)=

Answer 1

H(x) + (1 + f(x))³

By the Chain Rule, H'(x) = 3(1 + f(x))² f'(x)

Plug in x = -2 and evaluate.