Jee Main
Limits Continuity And Differentiability
JEE Main 2024 (Online) 30th January Morning Shift
INTEGER+4 / -12024
If the function
$$f(x)= \begin{cases}\frac{1}{|x|}, & |x| \geqslant 2 \\ \mathrm{a} x^2+2 \mathrm{~b}, & |x|<2\end{cases}$$
is differentiable on \(\mathbf{R}\), then \(48(a+b)\) is equal to __________.
