CPM Homework Help : CALC Problem 11-100

Multiple Choice: $f(x)$ , shown below, is twice differentiable. Examine the graph and decide which statement below is true.

$f ( 2 ) < f ^ { \prime } ( 2 ) < f ^ { \prime \prime } ( 2 )$
$f ( 2 ) < f ^ { \prime \prime } ( 2 ) < f ^ { \prime } ( 2 )$
$f ^ { \prime } ( 2 ) < f ( 2 ) < f ^ { \prime \prime } ( 2 )$
$f ^ { \prime \prime } ( 2 ) < f ( 2 ) < f ^ { \prime } ( 2 )$
$f ^ { \prime \prime } ( 2 ) < f ^ { \prime } ( 2 ) < f ( 2 )$

Hint:

$f(2) =$ ?
$f(2)$ is a maximum, so $f^\prime(2) =$ ?
The graph is concave down, so $f^{\prime\prime}(2)$ is ____.