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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 Rolle's Theorem, which states that for a continuous and differentiable function on a closed interval, if the function values at the endpoints are equal, then there exists a point where the derivative is zero. The Mean Value Theorem is also discussed, showing the existence of a point where the derivative is equal to the average rate of change over the interval. Applications of these theorems are demonstrated through examples.