The derivative of is

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

Problem

The derivative of

g

g'(x)=f(x)

, where

f

is continuous on

(-2,7)

. The sign of

f

is given by •

f(x)<0

(-2,0)

and

(4,7)

•

f(x)=0

only at

x=0

and

x=4

•

f(x)>0

(0,4)

List the

x

-value(s) where

g

has a relative extremum and classify each as a relative maximum or a relative minimum.