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UPSC NDA II 2025 Mathematics Paper

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Question Numbers: 73-75
For the following three (03) items:
Consider the function f(x) = x|x|

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Question : 75

Total: 120

Consider the following statements:
I. The function is increasing in the interval (-∞,∞),
II. The function is differentiable at x = 0
Which of the statements given above is/are correct?

I only
II only
Both I and II
Neither I nor II

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