If \( f(x)=\left\{\begin{array}{l}x^{3}, x^{2}1 \\ x, x^{2} \geq 1\end{array}\right. \) then \( ...

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If \( f(x)=\left\{\begin{array}{l}x^{3}, x^{2}1 \\ x, x^{2} \geq 1\end{array}\right. \) then \( f(x) \) is differentiable at
(A) \( (-\infty, \infty) \sim\{1\} \)
(B) \( (-\infty, \infty) \sim\{1-1\} \)
(C) \( (-\infty, \infty) \sim\{1-1,0\} \)
(D) \( (-\infty, \infty) \sim\{-1\} \)
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