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

Multiple Choice

Find $f ^ { \prime }$ in terms of $g ^ { \prime }$ .
$$f ( x ) = x ^ { 5 } g ( x )$$
Select the correct answer.

A) $f ^ { \prime } ( x ) = 5 x ^ { 4 } + g ^ { \prime } ( x )$
B) $f ^ { \prime } ( x ) = x ^ { 5 } g ( x ) + 5 x ^ { 5 } g ^ { \prime } ( x )$
C) $f ^ { \prime } ( x ) = 5 x ^ { 4 } g ( x ) + x ^ { 5 } g ^ { \prime } ( x )$
D) $f ^ { \prime } ( x ) = 5 x ^ { 4 } g ^ { \prime } ( x )$
E) $f ^ { \prime } ( x ) = 5 x f ^ { \prime } ( x ) + 5 x g ^ { \prime } ( x )$