At a point for a twice-differentiable function

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

Problem

At a point

x=2

for a twice-differentiable function

f

, you know

f''(2)>0

. For small positive values of

h

, will the tangent-line approximation at

x=2

give an overestimate or an underestimate for

f(2+h)

? Give a brief reason.