UPSC NDA I 2024 Mathematics 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 of 120
 
Marks: +1, -0
Consider the following statements :
1. f′′(e)=‌
1
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?
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