Question:
Let $\mathrm{K}$ be the set of all real values of $x$ where the function $\mathrm{f}(\mathrm{x})=\sin |\mathrm{x}|-|\mathrm{x}|+2(\mathrm{x}-\pi) \cos |\mathrm{x}|$ is not differentiable. Then the set $K$ is equal to:-
Correct Option: , 3
Solution:
$f(x)=\sin |x|-|x|+2(x-\pi) \cos x$
$\because \sin |\mathrm{x}|-|\mathrm{x}|$ is differentiable function at $\mathrm{x}=0$
$\therefore \mathrm{k}=\phi$