1.

Let \[f(x)=\left\{ \begin{matrix}    0, & x

A.             f is continuous but not differentiable
B.             f  is differentiable but not continuous
C.            \[{f}'\] is continuous but not differentiable
D.            \[{f}'\] is continuous and differentiable
Answer» D.            \[{f}'\] is continuous and differentiable


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