The set of all points, where the function f( x )= x 1+| x | is differentiable, is
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The set of all points, where the function \(f(\mathbf{x})=\frac{\mathbf{x}}{1+|\mathbf{x}|}\) is differentiable, is
- \([-\infty, \infty)\)
- \([0, \infty)\)
- \((-\infty, 0) \cup[0, \infty)\)
- \([0, \infty)\)
Answer
(A) [- , )
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