Question

Question #3f80c

Answer 1

Please see below.

Explanation:

The average rate of change is

`(f(x+h)-f(x))/h = (-4(x+h)^3-(-4x^3))/h`

`= (-4(x^3+3x^2h+3xh^2+h^3)+4x^3)/h`

`= (-12x^2h-12xh^2-4h^3)/h`

`= -12x^2-12xh-4h^2`