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) \(g ( x ) = - \frac { 1 } { x } + x ^ { 2 } - \frac { 5 } { 2 }\)

---

Definitions:

Customer Satisfaction

The measure of how products or services provided by a company meet or surpass customer expectation.

Production Era

A historical period in business thought where the focus was primarily on production efficiency and manufacturing output, often at the expense of customer needs or desires.

Consumer Demand

The desire of purchasers for products or services that they are willing and able to buy at given prices.

New Strategies

Innovative approaches and plans developed to achieve specific goals or solve problems, often in response to changes in the environment or industry trends.