Calculus - local maximum and minimum

Question

f(x) = (x + 3)(x - 2) ³ find the value(s) of x for which f has a local maximum and minimum

Answer 1

f(x) = (x + 3)(x - 2) ³

d/dx [f(x)] = (x-2)³ + (x+3)(3)(x-2)² = 0

x = -1.75

Local Minimum = (-1.75, -65.918)

There is no local maximum