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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 partial derivatives and functions in the context of multivariable calculus. It explains the definition and properties of partial derivatives, focusing on their existence and continuity. The instructor demonstrates how to calculate partial derivatives and emphasizes the importance of well-defined functions. The lecture also discusses the geometric interpretation of partial derivatives and their role in determining the direction of steepest ascent. Examples are provided to illustrate the application of partial derivatives in various scenarios, highlighting their significance in mathematical analysis.