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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=x2−xx2+2xf(x)=\frac{x^2-x}{x^2+2 x}, then ddx{f−1(x)}\frac{d}{d x}\left\{f^{-1}(x)\right\} is equal to
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Correct option: B
3(1−x)2\frac{3}{(1-x)^2}
Option B is correct because it correctly finds the inverse function and then differentiates it.

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