JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Analyzing +4 | -1

y=\left(\log _{\cos x} \sin x\right)\left(\log _{\sin x} \cos x\right)+\sin ^{-1} \frac{2 x}{1+x^2},

then

\frac{d y}{d x}

x=\frac{\pi}{2}

is equal to

View answer and explanation

Correct option: C

\frac{-8}{\pi^2+4}

Option C is correct because it involves simplifying the expression and then differentiating, evaluating the derivative at the specified point.

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