If \( f(x)=\left\{\begin{array}{cl}a x^{2}-b, & \text { if }|x|1 \\ \frac{1}{|x|}, & \text { if ...

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If \( f(x)=\left\{\begin{array}{cl}a x^{2}-b, & \text { if }|x|1 \\ \frac{1}{|x|}, & \text { if }|x| \geq 1\end{array}\right. \) is differentiable at \( x=1 \), find \( a, b \)
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