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Let \( f(x)=\left\{\begin{array}{cc}x^{2} & \text { for } x \geq 1 \\ a x+b & \text { for } x \leq 1\end{array}\right. \). If \( f \) is a differentiable function then
(a) \( a=-1, b=2 \)
(b) \( a=2, b=-1 \)
(c) \( a=-1 / 2, b=3 \)
(d) \( a=1, b=-2 \)
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