Question

The number of points at which the function, $f\left(x\right)=|x-0.5|+|x-1|+\tan x$ that does not have a derivative in the interval $(0,2)$ is/are?

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is C $3$

$|x-a|$ is non differentiable at $x=a$
$\therefore f\left(x\right)$ is non- differentaible at $x=0.5,x=1,x=\frac{\pi }{2}$
in the interval $(0,2)$