If $f: R \rightarrow R$ is defined as $f(x)=|x+1|+|x-1|$, then $f(x)$ is
- Anot differentiable at every real number
- Bnot differentiable at $-1$ and $1$ only
- Cnot differentiable at $-1, 0$ and $1$
- Ddifferentiable on $R$
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