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Limits Continuity and Differentiability question

2024 · 30 Jan · Shift 1 · Q60

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 30 Jan · Shift 1 · Q60

Limits Continuity and Differentiability question

2024 · 30 Jan · Shift 1 · Q60

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

If the function

f(x)= \begin{cases}\frac{1}{|x|}, & |x| \geqslant 2 \\ \mathrm{a} x^2+2 \mathrm{~b}, & |x|\lt 2\end{cases}

is differentiable on

\mathbf{R}

, then

48(a+b)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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