Let \alpha, \beta \in R be such that the function f(x)={\\begin{array}{ccc}2 \alpha (x^2-2) +2 \beta x & { & \\\\end{array} x< 1 ; (\alpha+3) x+(\alpha-\beta) ,{, } x \geq 1} be differentiable at all x \in R. Then 34(\alpha+\beta) is equal to [24 jan 2026 Shift 1]

Limits, Continuity and Differentiability Part 3

Section: Mathematics

Question : 5 of 69

Marks: +1, -0

Let α,β∈R be such that the function f(x)={

2α(x2−2)+2βx	,‌x<1
(α+3)x+(α−β)	,‌x≥1

be differentiable at all x∈R. Then 34(α+β) is equal to

[24 jan 2026 Shift 1]

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