Consider the following statements : 1. The function f(x)=x^2+2cosx is increasing in the interval (0,\pi) 2. The function f(x)=\ln(\sqrt{1+x^2}-x) is decreasing in the interval (-\infty,\infty) Which of the above statements is/are correct [NDA II 2015]

Correct Answer is : Both 1 and 2

UPSC NDA II 2015 Mathematics Solved Paper

Question : 76 of 120

Marks: +1, -0

Consider the following statements :
1. The function f(x)=x2+2cosx is increasing in the interval (0,π)
2. The function f(x)=ln(√1+x2−x) is decreasing in the interval (−∞,∞)
Which of the above statements is/are correct

[NDA II 2015]

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

Validate

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