https://wiki.haacksnetworking.org/ 2026-05-03T17:39:39+00:00 https://wiki.haacksnetworking.org/ https://wiki.haacksnetworking.org/lib/exe/fetch.php?media=logo.png text/html 2018-11-25T01:32:54+00:00 Anonymous (anonymous@undisclosed.example.com) https://wiki.haacksnetworking.org/doku.php?id=mathematics:investigating_implicit_differentiation&rev=1543109574&do=diff An Investigation of Implicit Differentiation This is exactly what the title states, namely, an investigation of implicit differentiation. Often the textbooks deliberately omit proofs or discussion of this matter, and at the most give some paltry abeyance to the chain rule, relations, etc. In looking into the matter further, it seems that multi-variable calculus is required to prove the algorithm of implicit differentiation formally, as well as the implicit function theorem, and so I developed…