The discussion focuses on finding the derivative of the function H(x) defined as H(x) = G(x) + G'(x)x. The user attempts to compute G'(x) using the inverse function derivative formula, specifically f'^-1(x), but arrives at an incorrect value of 16. The conversation emphasizes the importance of correctly applying the inverse function differentiation rules to solve for derivatives accurately.
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You should read this article:nfcfox said:Homework Statement
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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.