# Math Help - extreme values

1. ## extreme values

find the values of x that give relative extrema for the function
f(x)= (x+1)^2(x-2).

2. Originally Posted by gracy
find the values of x that give relative extrema for the function
f(x)= (x+1)^2(x-2).
Absolute or local extrema? I'll assume absolute.

f'(x) = 3*(x - 1)*(x + 1)

0 = 3*(x - 1)*(x + 1)

x = -1, 1

(-inf, -1) +
(-1, 1) -
(1, inf) +

Thus, we have a relative maximum at x = -1, and a relative minimum at x = 1.