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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
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.