calculate f prime

Question

Given that

f(x)=x⁶h(x)

h(-1)=4

h prime(-1)=7

Calculate f’(-1)

Answer 1

f(x) = x⁶h(x)

 

To find f ', use the product rule and the power rule:

 

f '(x) = 6x⁵h(x) + x⁶h'(x)

 

So, f '(x=-1) is:

 

f '(-1) = 6(-1)⁵h(-1) + (-1)⁶h'(-1)

 

Can you complete it from here?