JEE PYQ: Continuity And Differentiability Question 5
Question 5 - 2021 (18 Mar Shift 1)
If $f(x) = \begin{cases} \dfrac{1}{|x|}, & |x| \geq 1 \ ax^2 + b, & |x| < 1 \end{cases}$ is differentiable at every point of the domain, then the values of $a$ and $b$ are respectively:
(1) $\dfrac{1}{2}, \dfrac{1}{2}$
(2) $\dfrac{1}{2}, -\dfrac{3}{2}$
(3) $\dfrac{5}{2}, -\dfrac{3}{2}$
(4) $-\dfrac{1}{2}, \dfrac{3}{2}$