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JEE Math Practice Question

The set of points where $$f\left( x \right) = {x \over {1 + \left| x \right|}}$$ is differentiable is

  1. A.$$\left( { - \infty ,0} \right) \cup \left( {0,\infty } \right)$$
  2. B.$$\left( { - \infty ,1} \right) \cup \left( { - 1,\infty } \right)$$
  3. C.$$\left( { - \infty ,\infty } \right)$$
  4. D.$$\left( {0,\infty } \right)$$

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