Find the Function with the Given Derivative Whose Graph Passes $g ^ { \prime } ( x ) = \frac { 1 } { x ^ { 2 } } + 2 x , P ( - 2,2 )$

question 313

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $g ^ { \prime } ( x ) = \frac { 1 } { x ^ { 2 } } + 2 x , P ( - 2,2 )$

• A) \(g ( x ) = - \frac { 1 } { x } - x ^ { 2 } - \frac { 5 } { 2 }\)
• B) \(g ( x ) = \frac { 1 } { x } + x ^ { 2 } + \frac { 5 } { 2 }\)
• C) \(g ( x ) = \frac { 1 } { x } + x ^ { 2 } - \frac { 5 } { 2 }\)
• D) \(g ( x ) = - \frac { 1 } { x } + x ^ { 2 } - \frac { 5 } { 2 }\)

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