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

Question

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 [JEE Main 2021, 18 Mar (Shift 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}\r…

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

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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}\r…