Continuity and Differentiability
Medium
Function Differentiability and Monotonicity
Consider the following three statements for the function f : (0, ∞) → 
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.
defined byf(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.
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