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

\[(-\infty ,0)\cup (0,\infty )\]only

What is the set of all points, where the function \[f(x)=\frac{x}{1+\l

1.	What is the set of all points, where the function \[f(x)=\frac{x}{1+\left\| x \right\|}\] is differentiable?
A.	\[(-\infty ,\infty )\] only
B.	\[(0,\infty )\] only
C.	\[(-\infty ,0)\cup (0,\infty )\]only
D.	\[(-\infty ,0)\] only
Answer» B. \[(0,\infty )\] only

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

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