JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

f

is a bijection satisfying

f^{\prime}(x)=\sqrt{1-\{f(x)\}^2}

, then

\left(f^{-1}\right)^{\prime}(x)

View answer and explanation

Correct option: A

Is equal to

\frac{1}{\sqrt{1-x^2}}

Option A is correct because it correctly applies the derivative rules for inverse functions and uses the given condition f'(x).

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\frac{{dy}}{{dx}}

\frac{d}{d x} \sin ^{-1}\left(3 x-4 x^{3}\right)

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v\frac{{\partial z}}{{\partial x}} + \frac{{\partial z}}{{\partial y}}