Lecture

Differentiability: Theorem and Mean Value Theorem

Description

This lecture covers the concept of differentiability, focusing on the existence and continuity of gradients. The Mean Value Theorem is presented as a tool to understand differentiability conditions in open sets. The instructor explains the necessary and sufficient conditions for a function to be differentiable, emphasizing the role of partial derivatives and continuity. Various examples and proofs are provided to illustrate the theoretical concepts discussed.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_y5a680c7

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Ontological neighbourhood

Mathematics

Analysis: Calculus

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