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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
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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