JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

f

is one-one and satisfies

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 equal to

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

) is correct because it is the derivative of the inverse function using the given condition.

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