If \( f(x)=\left\{\begin{array}{cl}\frac{1}{|x|} & ; \quad|x| \geq 1 \\ a x^{2}+b & ; \quad|x|1\...

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If \( f(x)=\left\{\begin{array}{cl}\frac{1}{|x|} & ; \quad|x| \geq 1 \\ a x^{2}+b & ; \quad|x|1\end{array}\right. \) is differentiable at every point of the domain, then the values of \( a \) and \( b \) are respectively
(a) \( \frac{1}{2}, \frac{1}{2} \)
(b) \( \frac{1}{2},-\frac{3}{2} \)
(c) \( \frac{5}{2},-\frac{3}{2} \)
(d) \( -\frac{1}{2}, \frac{3}{2} \)
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