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Consider the following statements I. Th...

Consider the following statements I. The function `f(x) = x^2 + 2 cos x` is increasing in the interval `(0, pi).` II. The function `f(x) = ln (sqrt(1 + x^2) - x)` is decreasing in the interval `(-oo ,oo).` Which of the above statement(s) is/are correct?

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