JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

The derivative of

{\sin ^{ - 1}}\left( {2x\sqrt {1 - {x^2}} } \right)

with respect to

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

View answer and explanation

Correct option: A

\frac{2}{3}

Option A (

\frac{2}{3}

) is correct because by substituting

x = \sin \theta

, the expression simplifies, and the derivative becomes a simple ratio.

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