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UPSC NDA I 2024 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :
Let f(x)=‌

x

ln‌x

;(x>1)

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Question : 84

Total: 120

Consider the following statements :
1. f′′(e)=‌

2. f(x) attains local minimum value at x=e
3. A local minimum value of f(x) is e
Which of the statements given above are correct?

1 and 2 only
2 and 3 only
1 and 3 only
1,2 and 3

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