Let f be a real-valued.... | JEE Advanced 2010 | Mathematics

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Let f be a real-valued function defined on the interval $(-1,1)$ such that $e^{-x} f(x)=2+\int_0^x \sqrt{t^4+1} d t$, for all x $\in(-1,1)$ and let $f^{-1}$ be the inverse function of $f$. Then $\left(f^1\right)^{\prime}(2)$ is equal to

Select the correct option:

A

1

B

1/3

C

1/2

D

1/e

✓ Correct! Well done.

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