Optimization of Functions: Maximum and Minimum

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Related lectures (30)

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Local Extrema of Functions

Discusses local extrema of functions in two variables around the point (0,0).

Derivatives and Reciprocal Functions

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Construction of Measures: Separation and Partition

Covers the construction of measures in RN, focusing on separation and partition of compact sets.

Taylor's Formula: Developments and Extrema

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Extreme Values of Continuous Functions

Covers extreme values of continuous functions on compact sets and differentiability.

Extreme Points and Compact Intervals

Covers extreme points, compact intervals, and optimization problems in analysis.

Extreme Points and Function Extrema

Explores finding extrema of functions over compact sets and edge parametrization.

Local Extremums of Functions

Explains local and absolute extremums of functions and the classification of critical points.

Extrema of Functions in Several Variables

Explores the conditions for local extrema of functions in several variables, including critical points and the Hessian matrix.

Nature of Extremum Points

Explores the nature of extremum points in functions of class e² around the point (0,0), emphasizing the importance of understanding their behavior in the vicinity.