The derivative of a function is f'(x)= (x-1)²(x+3).
Find the value of x at each point where f has a
(a) local maximum
(b) local minimum
(c) point of inflection
I got that the maximum is at x=-3, and minimum at x=1. I got x=-5/3 and x=1 as points of inflection.
Can anyone tell me if I'm right, please?