NVAMediumJEE Main 2024 · 30 January, Shift 1Differentiability

Mathematics Question from JEE Main 2024 · 30 January, Shift 1

If the function f(x)={1x,x2ax2+2b,x<2f(x) = \begin{cases} \frac{1}{|x|}, & |x| \geq 2 \\ ax^2 + 2b, & |x| < 2 \end{cases} is differentiable on R\mathbb{R}, then 48(a+b)48(a + b) is equal to:

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