Mathematics

Problem

A differentiable function

g

satisfies

g'(x) > 0

for

x < -5

g'(x) < 0

for

-5 < x < 1

, and

g'(x) > 0

for

x > 1

. Identify the type of local extremum (if any) that

g

has at

x = -5

and at

x = 1