Lecture

Derivatives of Functions

Description

This lecture covers the concept of derivatives as the infinitesimal limit of the ratio of a function's variation to the variation of its variable, including the derivative of a composition of functions and the Taylor expansion. It also explains the derivative of a function as the slope of the graph of its position, and the acceleration as the derivative of velocity. The lecture introduces the temporal derivative notation used in physics.

In MOOC

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_ygdkmrk2

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Topology: General topology

Physics

Mechanics: Classical mechanics

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