Determine the derivative rule for finding the derivative of the reciprocal function: $\frac { 1 } { g ( x ) }$
A) $\frac { - g ^ { \prime } ( x ) } { [ g ( x ) ] ^ { 2 } }$
B) $\frac { 1 } { g ^ { \prime } ( x ) }$
C) $[ g ( x ) ] ^ { - 1 }$
D) $\frac { g ^ { \prime } ( x ) } { 2 g ( x ) }$

Question

Quizplus · Accepted Answer

The derivative of the reciprocal function $\frac{1}{g(x)}$ is found using the chain rule, resulting in $\frac{-g'(x)}{[g(x)]^2}$.

Determine the Derivative Rule for Finding the Derivative of the Reciprocal