If $\sin ^{-1}[\sqrt{x-a x}-\sqrt{a-a x}]$, then $\frac{d y}{d x}=$

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

\sin ^{-1}[\sqrt{x-a x}-\sqrt{a-a x}]

, then

\frac{d y}{d x}=

View answer and explanation

Correct option: C

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

Option C (

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

) is correct because it is the derivative of the simplified form of the given function after applying trigonometric substitution.

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