Lecture

Implicit Functions Theorem

Description

This lecture covers the implicit functions theorem, focusing on examples in scalar cases and applications in three-dimensional space. It explains how implicit equations define functions implicitly and the tangent planes to hypersurfaces. The lecture also delves into the differentiation of implicit functions and the implications of implicit differentiation in defining functions. Various examples are provided to illustrate the concepts discussed.

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Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_9zeu3rcp

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Geometry: Euclidean geometry

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