JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Let

f(x)=\frac{x^{2}-x}{x^{2}+2 x} x \neq 0,-2

. Then

\frac{d}{d x}\left[f^{-1}(x)\right]

(wherever it is defined) 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 after simplification.

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