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JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy
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Application +4 | -1
ddx{sin⁡2(cot⁡−11−x1+x)}\frac{d}{{dx}}\left\{ {{{\sin }^2}\left( {{{\cot }^{ - 1}}\sqrt {\frac{{1 - x}}{{1 + x}}} } \right)} \right\} equals
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Correct option: B
12\frac{1}{2}
Option B (12\frac{1}{2}) is correct because after simplifying the expression using trigonometric identities, the derivative is simply 12\frac{1}{2}.

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