Question

How do you differentiate `g(x) = cos(5x) (x^2-4)` using the product rule?

Answer 1

`g^(')(x) = -5sin(5x)(x^2-4) + cos(5x)(2x)`

Explanation:

`g(x) = cos(5x)(x^2-4)`

Product rule

Applied:

`g^(')(x) = -5sin(5x)(x^2-4) + cos(5x)(2x)`