Lecture

Local Extremums of Functions

Description

This lecture covers the definitions and properties of local and absolute extremums of functions of one variable. It explains the concepts of local maximum, local minimum, relative maximum, and relative minimum, as well as the necessary conditions for extremums. The lecture also discusses the classification of critical points and the sufficient conditions for identifying extremums. The instructor reviews the importance of differentiability in determining extremums and provides demonstrations to illustrate the concepts.

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