Question

How do you find the derivative of `u=(6-2x^2)^3`?

Answer 1

`u'=-12x(6-2x^2)^2`

Explanation:

If `u=[f(x)]^n`

Then `u'=n[f(x)]^(n-1)f'(x)`

`u=(6-2x^2)^3`

`u'=3(6-2x^2)^2-4x=-12x(6-2x^2)^2`