JEE Main 2020 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2020

If a function f(x) defined by f(x)=\begin{cases}ae^x+be^{-x}, & -1\le x<1\\ cx^2, & 1\le x\le3\\ ax^2+2cx, & 3<x\le4\end{cases} be continuous for some a, b, c ∈ R and f'(0) + f'(2) = e, then the value of of a is :

Answer: (D)

Solution

Question ID VK-012200