Let f(x) be a function defined by f(x)={...

Let f(x) be a function defined by `f(x)={{:(,e^(x),x lt 2),(,a+bx,x ge 2):}` It f(x) is differentiably for all `x in R`, then

A

`a+b=0`

B

`a+2b=e^(2)`

C

`b=e^(2)`

D

None of these

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The correct Answer is:

A, B, C

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