Lecture

Differentiability and Tangent Planes

Description

This lecture covers the concept of differentiability in multivariable functions, focusing on the tangent planes and their properties. It explains the definition of differentiability, the notation for derivatives, and the application of linear transformations. The lecture also discusses the continuity of functions, the existence of tangent planes, and the relationship between differentiability and continuity. Examples and graphical representations are used to illustrate the concepts.

Official source

https://mediaspace.epfl.ch/media/0_4s600q2n

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Algebra: Linear algebra

Discrete mathematics: Graph theory

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