Question

how do we find the critical points of f(x)= x^3/5 (4-x)?

Answer 1

Critical points are where f'(x) = 0 or where f'(x) is undefined.

Answer 2

can someone explain how to do this question? f(x)= x^3/5 (4-x)?

Answer 3

You find the derivative of f(x) using the quotient rule.

Set the numerator equal to zero. These are the x-values where f'(x) = 0.
Set the denominator equal to zero. These are the x-values where f'(x) is undefined.