Find the Function with the Given Derivative Whose Graph Passes $f ^ { \prime } ( x ) = e ^ { 3 x } , P \left( 0 , \frac { 7 } { 3 } \right)$

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $f ^ { \prime } ( x ) = e ^ { 3 x } , P \left( 0 , \frac { 7 } { 3 } \right)$

A) $f ( x ) = e ^ { 3 x } + \frac { 7 } { 3 }$
B) $f ( x ) = \frac { 1 } { 3 } e ^ { 3 x + 2 }$
C) $f ( x ) = \frac { 1 } { 3 } e ^ { 3 x } + \frac { 7 } { 3 }$
D) $f ( x ) = 3 e ^ { 3 x } + 2$