Determine Whether the Statement Is True or False $y = f ( x ) g ( x ) \text {, then } y ^ { \prime } = f ^ { \prime } ( x ) g ^ { \prime } ( x )$

Multiple Choice

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If $y = f ( x ) g ( x ) \text {, then } y ^ { \prime } = f ^ { \prime } ( x ) g ^ { \prime } ( x )$

A) True
B) False. The product rule is $[ f ( x ) g ( x ) ]^\prime = f ( x ) g ^ { \prime } ( x ) + g ( x ) f ^ { \prime } ( x )$