1.

If \[f(x)=\left\{ \begin{matrix}    {{x}^{3}},\,\,{{x}^{2}}1  \\ \end{matrix} \right.\], then \[f(x)\] is differentiable at

A. \[(-\infty ,\infty )-\{1\}\]  
B. \[(-\infty ,\infty )\tilde{\ }\{1,-1\}\]
C. \[(-\infty ,\infty )\tilde{\ }\{1,-1,0\}\]
D. \[(-\infty ,\infty )\tilde{\ }\{-1\}\]
Answer» C. \[(-\infty ,\infty )\tilde{\ }\{1,-1,0\}\]


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