JEE Main 2019 Mathematics question

Let K be the set of all real values of x where the function f(x) = sin|x| − |x| + 2(x − π) cos|x| is not differentiable. Then the set K is equal to:

• (A){0, π}
• (B)φ (an empty set)Correct
• (C){π}
• (D){0}