A differentiable function satisfies for all in the interval

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

Problem

A differentiable function

h

satisfies

h''(x)>0

for all

x

in the interval

[2,2.4]

. The linear approximation of

h

x=2

gives

L(2.4)=5.12

. Using this information, determine the correct inequality relation between

h(2.4)

and

5.12

, and justify your answer in one or two sentences.