Finding derivative using table of values

[nfcfox]

Homework Statement

http://imgur.com/MSkNkno

Homework Equations

The Attempt at a Solution

I know that I would have to take the derivative of H(x) which is G(x)+G'(x)x so then I would need G'(x) which I figured would be f'^-1(x) but I'm not sure about that. Doing that I got a value of 16 which isn't an answer.

 

[SteamKing]

Homework Statement

http://imgur.com/MSkNkno

Homework Equations

The Attempt at a Solution

I know that I would have to take the derivative of H(x) which is G(x)+G'(x)x so then I would need G'(x) which I figured would be f'^-1(x) but I'm not sure about that. Doing that I got a value of 16 which isn't an answer.

You should read this article:

https://en.wikipedia.org/wiki/Inverse_functions_and_differentiation