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

question 360

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) \(f ( x ) = \frac { x ^ { 3 } } { 3 } + 6 x\)

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