I posted videos of the proof of the Inverse Function Theorem, Implicit Function Theorem and higher dimensional derivatives in the left hand margin. Please note that there is an annoying typo in the last line of the proof of the Inverse Function Theorem: in the first posted version of chapter 1, at the end of the proof of the derivative,

*F*has the variable y as argument but it should of course be*x*(identically copied from the line above). As you see in the video, one finally inserts \(x=G(y)\) to get the result.
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