UPSC NDA I 2024 Mathematics Paper

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Consider the following for the next two (02) items that follow :
A differentiable function f(x) has a local maximum at x=0. Let y=2f(x)+ax−b.
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Question : 91 of 120
 
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Which of the following is/are correct?
1. f′(0)=0
2. f′′(0)<0
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