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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Definitions:

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Describing a statement or situation that contains elements that are logically inconsistent with each other.

Grammatical Construction

The arrangement and relationship of words, phrases, and clauses in sentences, adhering to the rules of a language.

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A statement or proposition that cannot be true under any circumstances.

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