Find the Function with the Given Derivative Whose Graph Passes $f ^ { \prime } ( x ) = x ^ { 2 } + 6 , P ( 0,12 )$

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $f ^ { \prime } ( x ) = x ^ { 2 } + 6 , P ( 0,12 )$

A) $f ( x ) = x ^ { 3 } + 6 x ^ { 2 } + 12$
B) $f ( x ) = \frac { x ^ { 3 } } { 3 } + 6 x + 12$
C) $f ( x ) = x ^ { 3 } + 6 x + 12$
D) $f ( x ) = \frac { x ^ { 3 } } { 3 } + 6 x$