The set of points where the function f (x) = x |x| is differentiable is

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The set of points where the function f (x) = x |x| is differentiable is
  1. \([-\infty, \infty)\)
  2. \((-\infty, 0) \cup[0, \infty)\)
  3. \([0, \infty)\)
  4. \([0, \infty)\)

Answer

(A) [- , )

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