1.

The set of all those points, where the function \[f(x)=\frac{x}{1+|x|}\]is differentiable, is

A.            \[(-\infty ,\infty )\]
B.            \[[0,\infty ]\]
C.            \[(-\infty ,\,0)\cup (0,\infty )\]
D.            \[(0,\infty )\]
Answer» B.            \[[0,\infty ]\]


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