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Derivative of an Inverse Function

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The function ff is invertible and is defined by f(x)=1+x2f(x)=\sqrt{1+x^2}. If gg is the inverse of ff, what is the value of g(2)g'(\sqrt{2})?

The table below shows selected values for ff.

x f(x)
0 1
1 2\sqrt{2}
2 5\sqrt{5}
A

12\frac{1}{\sqrt{2}}

B

22

C

2\sqrt{2}

D

1+21+\sqrt{2}

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