Consider the following three statements for the function f:(0,∞)⟶R defined by f(x)=|logex|−|x−1| :
(I) f is differentiable at all x>0.
(II) f is increasing in (0,1).
(III) f is decreasing in (1,∞).
Then.
[24 Jan 2026 Shift 2]

Question

Examsnet · Accepted Answer

Correct Answer is : Only (I) and (III) are TRUE.

Application of Derivatives Part 3