Let K be the set of all real values of x where the function f(x) = sin |x| – |x| + 2(x – $$\pi $$) cos |x| is not differentiable. Then the set K is equal to :
JEE · Math · previous-year question
- A.{0, $$\pi $$}
- B.$$\phi $$ (an empty set)correct
- C.{ r }
- D.{0}
Answer
B. $$\phi $$ (an empty set)
Explanation
f(x) = sin$$\left| x \right| - \left| x \right|$$ + 2(x $$-$$ $$\pi $$) cosx $$ \because $$ sin$$\left| x \right|$$ $$-$$ $$\left| x \right|$$ is differentiable function at c = 0 $$ \therefore $$ k = $$\phi $$
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