If $f(x)=\frac{x^2-x}{x^2+2 x}$, then $\frac{d f^{-1}(x)}{d x}$ is equal to

JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

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

, then

\frac{d f^{-1}(x)}{d x}

is equal to

View answer and explanation

Correct option: B

\frac{3}{(1-x)^2}

Option B (

\frac{3}{(1-x)^2}

) is correct because it is the derivative of the inverse function

f^{-1}(x)

after simplifying

f(x)

and finding its inverse.

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