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Let f be a real-valued function defined on the interval `(-1,1)` such that `e^(-x) f(x) = 2+int_(0)^(x)sqrt(t^(4)+1)` dt, for all `x in (-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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The correct Answer is:
B
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