JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

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 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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