Question

Suppose that g(x) = f(x)*h(x), f(3) = 6, h(3) = 2, h'(6)=4, h'(3) = 15 and f'(3) = 8. Find g’(3).

(A) 32 (C) 106 (B) 8 (D) 60

Answer 1

Explanation:

C (106)

g(x)=f(x)*h(x) ⇒g'(x)=f'(x)*h(x)+f(x)*h'(x) ⇒ g'(3)=f'(3)*h(3)+f(3)*h'(3)⇒ g'(3)=(8*2)+(6*15)= 16+90=106