If $y=\sin ^{-1} \sqrt{1-x^2}$, then $d y / d x=$ ?

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

y=\sin ^{-1} \sqrt{1-x^2}

, then

d y / d x=

View answer and explanation

Correct option: C

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

Option C (-1/sqrt(1-x²)) is correct because it is the derivative of the given function after simplification using trigonometric substitution.

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