If $f ( x ) = \frac { x ^ { 2 } + 2 } { x ^ { 2 } - 2 }$ , then $f ^ { \prime } ( x ) = - \frac { 4 x } { \left( x ^ { 2 } - 2 \right) ^ { 2 } }$ .

Name: If $f ( x ) = \frac { x ^ { 2 } + 2 } { x ^ { 2 } - 2 }$ , then $f ^ { \prime } ( x ) = - \frac { 4 x } { \left( x ^ { 2 } - 2 \right) ^ { 2 } }$ .
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Question

Quizplus · Accepted Answer

The derivative of $f(x)$ is found using the quotient rule, and the correct derivative is $\frac{4x}{(x^2 - 2)^2}$, not negative.

If f(x)=x2+2x2−2f ( x ) = \frac { x ^ { 2 } + 2 } { x ^ { 2 } - 2 }f(x)=x2−2x2+2​

If $f ( x ) = \frac { x ^ { 2 } + 2 } { x ^ { 2 } - 2 }$