Question

Given g(-2) = -4 and g'(-2) = 5, find the value of h'(-2) based on the function below.

h(x) = (-2x + 6) • g(x)

Answer 1

Explanation:

so,

h(x) = f(x) × g(x)

h'(x) = f'(x) × g(x) + f(x)×g'(x)

with f(x) = -2x + 6

f'(x) = -2

so,

h'(-2) = -2 × g(-2) + (-2×-2 + 6) × g'(x) =

= -2 × -4 + 2 × 5 = 8 + 10 = 18