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If \(f(x)=\left\{\begin{array}{cl}\frac{1}{|x|} & ;|x| \geq 1 \\ a x^2+b & ;|x|<1\end{array}\right.\) is diff…

Q1

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

a

\(-\frac{1}{2},\frac{3}{2}\)

b

\(\frac{1}{2},-\frac{3}{2}\)

c

\(\frac{1}{2},\frac{1}{2}\)

d

\(\frac{5}{2},-\frac{3}{2}\)

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