Suppose a differentiable function satisfies

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

Problem

Suppose a differentiable function

f

satisfies

f''(7)>0

. Near

x=7

, does the tangent-line approximation to

f

give an underestimate or an overestimate of the true function values?