I stumbled upon this document that discusses the single variable chain rule:(adsbygoogle = window.adsbygoogle || []).push({});

http://math.rice.edu/~cjd/chainrule.pdf

At the bottom, there is an incorrect proof of the validity of the chain rule, but the author does not cite why the proof is wrong. I'm wondering if the problem is multiplying by g'(x)^-1 without assuming g'(x)~=0 for the relevant x.

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# Faulty proof of chain rule

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