Let f : (0, ∞) → ℝ be given by f(x) = _ 1 x ^ x e^ - (t + 1 t ) dt t . Then

JEE Advanced 2014 Mathematics question

Let f : (0, ∞) → ℝ be given by

f(x) = .

Then

Answer: (A),(C),(D)

By the Leibniz rule, for all x > 0. So f is increasing on (0, ∞): (A) true and (B) false.

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Question ID VK-026286