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

Question

Quizplus · Accepted Answer

The derivative of $f(x) = \frac{8}{x}$ is $f'(x) = -\frac{8}{x^2}$, and $f'(-1) = -8$.

Calculate the Derivative of the Function f(x)=8x;f′(−1)f ( x ) = \frac { 8 } { x } ; f ^ { \prime } ( - 1 )f(x)=x8​;f′(−1)

Calculate the Derivative of the Function $f ( x ) = \frac { 8 } { x } ; f ^ { \prime } ( - 1 )$