Calculate the derivative of the function. Then find the value of the derivative as specified.
-$$g ( x ) = - \frac { 2 } { x } ; g ^ { \prime } ( - 2 )$$
A) $g ^ { \prime } ( x ) = - \frac { 2 } { x ^ { 2 } } ; g ^ { \prime } ( - 2 ) = - \frac { 1 } { 2 }$
B) $g ^ { \prime } ( x ) = \frac { 2 } { x ^ { 2 } } ; g ^ { \prime } ( - 2 ) = \frac { 1 } { 2 }$
C) $g ^ { \prime } ( x ) = - 2 x ^ { 2 } ; g ^ { \prime } ( - 2 ) = - 8$
D) $g ^ { \prime } ( x ) = - 2 ; g ^ { \prime } ( - 2 ) = - 2$

Question

Quizplus · Accepted Answer

The derivative of $-\frac{2}{x}$ is $\frac{2}{x^2}$, and evaluating this at $x = -2$ gives $\frac{1}{2}$.

Calculate the Derivative of the Function g(x)=−2x;g′(−2)g ( x ) = - \frac { 2 } { x } ; g ^ { \prime } ( - 2 )g(x)=−x2​;g′(−2)

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