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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 chain rule for compositions of differential functions in higher dimensions. It explains the standard chain rule and its application to functions from open sets to real numbers. The lecture also generalizes the chain rule for higher dimensional functions, providing theorems and proofs for differentiable functions. Emphasis is placed on understanding the gradient and the impact of directional changes on the functions. The lecture concludes with practical examples and applications of the chain rule in various scenarios.