Calculate the Derivative of the Function $$g ( x ) = x ^ { 3 } + 5 x ; g ^ { \prime } ( 1 )$$

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $$g ( x ) = x ^ { 3 } + 5 x ; g ^ { \prime } ( 1 )$$

A) $g ^ { \prime } ( x ) = 3 x ^ { 2 } + 5 x ; g ^ { \prime } ( 1 ) = 8$
B) $g ^ { \prime } ( x ) = x ^ { 2 } + 5 ; g ^ { \prime } ( 1 ) = 6$
C) $g ^ { \prime } ( x ) = 3 x ^ { 2 } ; g ^ { \prime } ( 1 ) = 3$
D) $g ^ { \prime } ( x ) = 3 x ^ { 2 } + 5 ; g ^ { \prime } ( 1 ) = 8$