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Let f be a real-valued function defined ...

Let `f` be a real-valued function defined on the inverval `(-1,1)` such that `e^(-x)f(x)=2+int_0^xsqrt(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

A) 1

B

B) `1/3`

C

C) `1/2`

D

D) `1/e`

Text Solution

Verified by Experts

The correct Answer is:
B
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