Consider \( (x)=\left\{\begin{array}{cc}\frac{x^{2}}{|x|}, & x \neq 0 \\ 0, & x=0\end{array}\rig...
Consider \( (x)=\left\{\begin{array}{cc}\frac{x^{2}}{|x|}, & x \neq 0 \\ 0, & x=0\end{array}\right. \)
(A) \( f(x) \) is discontinuous everywhere
(B) \( f(x) \) is continuous everywhere
(C) \( f^{\prime}(x) \) exists in \( (-1,1) \)
(D) \( f^{\prime}(x) \) exists in \( (-2,2) \)
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