Let be differentiable on with derivative

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

g

be differentiable on

[-3,3]

with derivative

g'(x)=(x-1)(x+2)^{2}

. Without evaluating

g(x)

, determine the

x

–value(s) where

g

attains its absolute minimum on

[-3,3]

, and state whether the extremum occurs at an endpoint or at an interior point.