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Let f be a real valued function defined ...

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, 0)` 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`

Text Solution

Verified by Experts

The correct Answer is:
B
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