Application of Derivatives Part 3

Section: Mathematics

Question : 1 of 30

Marks: +1, -0

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]

Only (I) is TRUE.
Only (I) and (III) are TRUE.
Only (II) and (III) are TRUE.
All (I), (II) and (III) are TRUE.

Validate

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