Find $f ^ { \prime }$ In Terms Of $g ^ { \prime }$

Multiple Choice

Find $f ^ { \prime }$ in terms of $g ^ { \prime }$ .
$$f ( x ) = [ g ( x ) ] ^ { 4 }$$

A) $f ^ { \prime } ( x ) = 4 g ( x )$
B) $f ^ { \prime } ( x ) = 4 [ g ( x ) ] ^ { 3 } g ^ { \prime } ( x )$
C) $f ^ { \prime } ( x ) = 4 \left[ g ^ { \prime } ( x ) \right] ^ { 3 }$
D) $f ^ { \prime } ( x ) = 4 [ g x ] \left[ x g ^ { \prime } + g \right]$
E) $f ^ { \prime } ( x ) = 4 g ^ { \prime } ( x )$