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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=cos⁡(x2−4[x])f(x)=\cos \left(x^2-4[x]\right) for 0<x<10 < x < 1, where [x][x] denotes the greatest integer ≤x\leq \mathrm{x}, then f′(π/2)f^{\prime}(\sqrt{\pi} / 2) is equal
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Correct option: A
−π2-\sqrt{\frac{\pi}{2}}
Option A (−π2-\sqrt{\frac{\pi}{2}}) is correct because the derivative of the function is calculated and then evaluated at the given point.

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