The derivative of a polynomial at is

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The derivative of a polynomial

p(x)

x=3

-4

. Which of the following statements best describes the behavior of

p(x)

near

x=3

? (a) The graph of

p

is increasing at a rate of

4

units per unit change in

x

. (b) The

y

-coordinate of the tangent line at

x=3

-4

. (c) The graph of

p

is decreasing at a rate of

4

units per unit change in

x

. (d) The graph of

p

has a horizontal tangent at

x=3