A differentiable function satisfies the following: for and

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

Problem

A differentiable function

g

satisfies the following:

g'(x)>0

for

-4<x<-1

and

2<x<4

, while

g'(x)<0

for

-1<x<2

. The derivative equals

0

only at

x=-1

and

x=2

. Determine the

x

-coordinates of all local extrema of

g

and classify each as a maximum or minimum.