Let \( f(x)=\left\{\begin{array}{cc}0, & x0 \\ x^{2}, & x \geq 0\end{array}\right. \), then for ...

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Let \( f(x)=\left\{\begin{array}{cc}0, & x0 \\ x^{2}, & x \geq 0\end{array}\right. \), then for all values of \( x \)
(1) \( f \) is continuous but not differentiable
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(2) \( f \) is differentiable but not continuous
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(3) \( f^{\prime} \) is continuous but not differentiable
(4) is continuous and differentiable
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