Engineering Mathematics Calculus Differentiability

What is the set of all points, where the function \(\rm f(x)=\frac{x}{1+|x|}\) is differentiable?

1
(-∞, ∞) only
2
(0, ∞) only
3
(-∞, 0) ∪ (0, ∞) only
4
(-∞, 0) only
5
Not Attempted

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