Lecture

Lagrange Multipliers: Extrema and Implicit Functions

Description

This lecture covers the application of Lagrange multipliers to find extrema of functions subject to constraints, using implicit functions theorem. It also explores examples of finding maximum volume given surface area constraints, emphasizing the importance of verifying compactness.

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Official source

https://mediaspace.epfl.ch/media/0_05cdzexp

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Topology: General topology

Mathematical logic: Set theory

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