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UPSC NDA II 2025 Mathematics Paper

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Question Numbers: 78-80
For the following three (03) items:
Let y=f(x)=‌

xsin‌−1⁡x

√1−x2

+ln⁡√1−x2.

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Question : 78

Total: 120

What is the slope of the tangent to the curve y = f(x) at x = 0.5

4π√3‌∕‌27
8π√3‌∕‌27
4π
8π

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