Let \( f(x)=\int_{0}^{x}|x-1| d x, x \geq 0 \). Then \( f^{\prime}(...

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Let \( f(x)=\int_{0}^{x}|x-1| d x, x \geq 0 \). Then \( f^{\prime}(x) \) is
\( \mathrm{P} \)
(a) continuous at \( x=1 \)
W
(b) continuous at \( x=2 \)
(c) differentiable at \( x=1 \)
(d) differentiable at \( x=2 \)
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