JEE Main 202624 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002Let α,β∈R\alpha, \beta \in \mathbb{R}α,β∈R be such that the function f(x)={2α(x2−2)+2βx,x<1(α+3)x+(α−β),x≥1f(x) = \begin{cases} 2\alpha(x^2 - 2) + 2\beta x, & x < 1 \\ (\alpha + 3)x + (\alpha - \beta), & x \ge 1 \end{cases}f(x)={2α(x2−2)+2βx,(α+3)x+(α−β),x<1x≥1 be differentiable at all x∈Rx \in \mathbb{R}x∈R. Then 34(α+β)34(\alpha + \beta)34(α+β) is equal toAOption A. 363636BOption B. 484848COption C. 848484DOption D. 242424CheckSkip · show solution
