JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Differential coefficient of

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

with respect to

{\sin ^{ - 1}}\frac{{2x}}{{1 + {x^2}}}

will be

View answer and explanation

Correct option: A

Option A (1) is correct because the differential coefficient simplifies to 1 after trigonometric substitution and differentiation.

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