Let α,β∈ℝ be such that the function f(x)= 2α(x²-2)+2β x, x<1 (α+3… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 1Differentiability

Let $\alpha,\beta\in\mathbb{R}$ be such that the function $f(x)= \begin{cases} 2\alpha(x^2-2)+2\beta x, & x<1 \\ (\alpha+3)x+(\alpha-\beta), & x\ge1 \end{cases}$ is differentiable at all $x\in\mathbb{R}$ . Then $34(\alpha+\beta)$ is equal to

A
$48$
B
$84$
C
$24$
D
$36$

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