If a function {f}( {x}) defined by {f}( {x})=\\begin{array}{c}{ae\end{array}^{ {x}}+ {be}^{- {x}}, {,},-1 \leq{x}<1 ; {cx}^{2} , {,},1\leq {x} \leq 3;{ax}^{2}+2 {cx}, {,},3< {x} \leq 4 be continuous for some {a}, {b}, {c} \in{R} and{f}'(0)+ {f}'(2)= {e}, then the value of a is : [2 Sep 2020 Shift 1]

Correct Answer is : ee2−3e+13

Limits, Continuity and Differentiability Part 1

Section: Mathematics

Question : 15 of 100

Marks: +1, -0

If a function f(x) defined by

f(x)={

be continuous for some a,b,c∈R andf′(0)+f′(2)=e, then the value of a is :

[2 Sep 2020 Shift 1]

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