Question

Given f(5)=0 and f'(5)=4 find the value of h'(5) based on h(x)=(f(x))^3

Answer 1

discrete math?

Answer 2

Calc

Answer 3

Use the power/chain rules on h(x) to differentiate it:
\[h'(x)=3[f(x)]^2\cdot f'(x)\]
Then, \(h'(5)=3[f(5)]^2\cdot f'(5)\)

Answer 4

@Hoa