A differentiable function satisfies for all in an open interval containing

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

Problem

A differentiable function

h

satisfies

h''(x)<0

for all

x

in an open interval containing

x=2

. Describe whether the tangent line to

h

x=2

lies above or below the graph of

h

near

x=2

, and explain your reasoning in one sentence.