Lecture

Rolle's Theorem and Mean Value Theorem

Description

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.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_8pq8ajdd

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Topology: General topology

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