Calculate the Derivative of the Function $$g ( x ) = - \frac { 2 } { x } ; g ^ { \prime } ( - 2 )$$

question 169

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $$g ( x ) = - \frac { 2 } { x } ; g ^ { \prime } ( - 2 )$$

• A) \(g ^ { \prime } ( x ) = - 2 ; g ^ { \prime } ( - 2 ) = - 2\)
• B) \(g ^ { \prime } ( x ) = \frac { 2 } { x ^ { 2 } } ; g ^ { \prime } ( - 2 ) = \frac { 1 } { 2 }\)
• C) \(g ^ { \prime } ( x ) = - \frac { 2 } { x ^ { 2 } } ; g ^ { \prime } ( - 2 ) = - \frac { 1 } { 2 }\)
• D) \(g ^ { \prime } ( x ) = - 2 x ^ { 2 } ; g ^ { \prime } ( - 2 ) = - 8\)

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A numerical index that ranges from -1.0 to 1.0 and reflects the extent to which two variables are linearly related.

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