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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.
Official source
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