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JEE Main 2019 · 11 Jan · Shift II

JEE Main 2019 Mathematics question on Limits Continuity and Differentiability

Let KK be the set of all values of xx, where the function f(x)=sin⁡∣x∣−∣x∣+2(x−π)cos⁡∣x∣f(x) = \sin|x| - |x| + 2(x - \pi)\cos|x| is not differentiable. Then, the set KK is equal to
  1. A.
    {0}\{0\}
  2. B.
    ϕ\phi (an empty set)
  3. C.
    {π}\{\pi\}
  4. D.
    {0,π}\{0, \pi\}
Show answer

Correct option: B

[JEE Main 2019 · 11 Jan · Shift II]

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