Use the Given Information to Find $f ^ { \prime } ( 2 )$

Multiple Choice

Use the given information to find $f ^ { \prime } ( 2 )$ of the function $f ( x ) = g ( x ) h ( x )$ . $g ( 2 ) = 3 \text { and } g ^ { \prime } ( 2 ) = - 2 , h ( 2 ) = - 1 \text { and } h ^ { \prime } ( 2 ) = 4$

A) $f ^ { \prime } ( 2 ) = 14$
B) $f ^ { \prime } ( 2 ) = - 11$
C) $f ^ { \prime } ( 2 ) = 17$
D) $f ^ { \prime } ( 2 ) = - 9$
E) $f ^ { \prime } ( 2 ) = 12$