Question

If f(x)=(x+1)^3(x^2-1)^2, what is the value of f'(2)?

Details and assumptions

f'(x) denotes the derivative of f(x).

Answer 1

by combination of product and chain rules

f ' (x) = 2(2x)(x^2 - 1) + 3(x+1)^2 (x^2 -1)^2

f ' (2) = ...... just grinding it out