Suppose a differentiable function satisfies for

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

Problem

Suppose a differentiable function

g

satisfies

g'(x)>0

for

x<2

and

g'(x)<0

for

x>2

. Identify the type of relative extremum of

g

x=2

and briefly explain your conclusion.