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

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1.	Let \[f(x)=\left\{ \begin{matrix} 0, & x<0\\ {{x}^{2}}, & x\ge 0\\ \end{matrix} \right.\] , then for all values of \[x\] [IIT 1984; MP PET 2002]
A.	f is continuous but not differentiable
B.	fis 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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