Question

What is the derivative of (x^(2/3))(x-4)?

Answer 1

Using product rule:
(2/3x^(-1/3))(x-4)+(x^(2/3))

Answer 2

How would you find the critical points of that function?

Answer 3

first you find the first derivative then look at the which numbers do the first derivative zero and also look at first derivative does not exist.