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Let f be a real valued functional define...

Let `f` be a real valued functional defined on the interval `(-1,1)` such that `e^(-x)f(x)=2+int_(0)^(x)sqrt(t^(4)+1)dt`, for all `x epsilon(-1,1)` and let `f^(-1)` be the inverse function of `f`. Then `f^(-1))'(2)` is equal to

A

1

B

`1//3`

C

`1//2`

D

`1//e`

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