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If a function f(x) defined by f(x) = \begincases ae^x + be^-x, & -1 \leq x < 1 \\[6pt] cx^2, & 1 \leq x \leq 3 \\[6pt] ax^2 + 2cx, & 3 < x \leq 4 \endcases \\[10pt] be continuous for some a, b, c \in \mathbbR and f'(0) + f'(2) = e, then the value of a is | Watch the step-by-step video solution for this NIMCET PYQ.