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UPSC NDA I 2015 Mathematics Solved Paper

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For the next two (2) items that follow:
Consider the function
f(x)=0.75x4−x3−9x2+7

[NDA I 2015]

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Question : 81

Total: 120

Consider the following statements
1. The function attains local minima at x = -2 and x = 3.
2. The function increases in the interval (-2, 0).
Which of the above statements is/are correct

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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