Lecture

Implicit Function Theorem: Local Extrema

In course

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Description

This lecture covers the generalization of the Implicit Function Theorem for functions in Ck(U) for U ⊆ R². It explains how to find local extrema and supporting hyperplanes for surfaces. The lecture also delves into the calculation of higher-order derivatives and the classification of stationary points using the Hessian matrix.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_0qtyk3ua

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Ontological neighbourhood

Mathematics

Analysis: Calculus

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