On the closed interval

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

Problem

[-4,5]

, the derivative

h'

satisfies •

h'(x)>0

for

-4<x<-1

•

h'(-1)=0

•

h'(x)<0

for

-1<x<5

Assuming

h

is continuous on

[-4,5]

, identify the

x

–value(s) at which

h

attains an absolute maximum on the interval and provide a brief justification.