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QJEEM19Ma3b53: JEE Main 2019 Mathematics - Class 12 JEEM19Ma3b53 Solution: Let K be the set of all real values of x where the function…

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 :

Multiple Choice Options

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

Step-by-Step Verified Solution

f(x) = sin|x|−|x| + 2(x − π) cosx

∵  sin|x| − |x| is differentiable function at c = 0

∴  k = ϕ

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