Let be twice differentiable with and

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

Problem

Let

f

be twice differentiable with

f(4)=7

and

f'(4)=3

. Given that

f''(4)<0

, determine whether the linear approximation at

x=4

will overestimate or underestimate

f(4.2)

. State your answer as “overestimate” or “underestimate.”