The points at which the function $f(x)=|x-0.5|+|x-1|+\tan x$ does not have a derivative in the interval $(0…

The points at which the function $f(x)=|x-0.5|+|x-1|+\tan x$ does not have a derivative in the interval $(0,2)$ is
  1. $0.5,1,2$
  2. $0.5, \frac{\pi}{2}, 0$
  3. $1, \frac{\pi}{2}, 2$
  4. $0.5,1, \frac{\pi}{2}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 2)

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