calculate f prime

Question

Given that 

f(x)=x⁶h(x)

h(-1)=4

h′(-1)=7

 

calculate f′(-1)

Answer 1

f’(x)=(d/dx(x⁶))*h(x) + x⁶*(h’(x))

      =6x⁵*h(x) + (h’(x))*x⁶

f’(-1) = 6(-1)⁵*h(-1) + h’(-1)*(-1)⁶= -6*4+(7*1) =-24+7=-17