Calculus Question

Question

Given that g(5) = −6 and g'(5) = 3 find f '(5), if possible. (If not possible, enter IMPOSSIBLE.) f(x) = [g(x)]3

Answer 1

f(x) = [g(x)]³

By the chain rule, f'(x) = 3[g(x)]² g'(x).

So, f'(5) = 3[g(5)]² g'(5) = 3(-6)²(3) = 324