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JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy
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Application +4 | -1
If y=cos⁡x2+cos⁡x2+cos⁡x2+⋯+∞y=\sqrt{\cos x^2+\sqrt{\cos x^2+\sqrt{\cos x^2+\cdots+\infty}}}, then dydx\frac{d y}{d x}
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Correct option: B
−2xsin⁡x22y−1\frac{-2 x \sin x^2}{2 y-1}
Option B (−2xsin⁡x22y−1\frac{-2 x \sin x^2}{2 y-1}) is correct because differentiating the given equation implicitly leads to this result.

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