In problem 1-3, the first derivative f' is given, Find all values of x that make the

Question:

In problem 1-3, the first derivative f' is given, Find all values of x that make the function f(a) a local minimum and (b) a local maximum.
1. f'(x) = x3(1 - x)2
2. f'(x) = - (x - 1) (x - 2) (x - 3) (x - 4)
3. f'(x) = (x - 1)2 (x - 2)2 (x - 3) (x - 4)