Mathematics · Differentiability
Consider the following three statements for the function f : (0, ∞) → ℜ defined by f(x) = |loge x| - |x - 1|: I. f is differentiable at all x > 0. II. f is increasing in (0, 1). III. f is decreasing in (1, ∞). Which of the statements given above is/are TRUE?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Only I and III are TRUE✓
- 2Only II and III are TRUE
- 3Only I is TRUE
- 4All I, II and III are TRUE
Correct answer
Only I and III are TRUE
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