A differentiable function satisfies for

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

Problem

A differentiable function

f

satisfies

f'(x) < 0

for

x < -2

f'(-2) = 0

f'(x) > 0

for

-2 < x < 1

f'(1) = 0

, and

f'(x) < 0

for

x > 1

. Determine the number of relative (local) maxima of

f

and state their

x

-coordinate(s).