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NDA Math Application of Derivatives

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Question : 1 of 73

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Consider the following statements in respect of the function
f(x)={

\|x\|+1	‌	0<\|x\|≤3
1	‌	x=0.

1. The function attains maximum value only at x=3
2. The function attains local minimum only at x=0
Which of the statements given above is/are correct?

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

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