Optimization: Local Extrema

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Generalized Fine Increments: Applications and Examples

Discusses generalized fine increments, function evaluation, theorems, and derivative applications.

Optimization Techniques: Local and Global Extrema

Discusses optimization techniques, focusing on local and global extrema in functions.

Max/min: optimization

Covers the concepts of optimization, focusing on finding maximum and minimum values.

Taylor's Formula: Developments and Extrema

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

Analysis I: Limits and Continuity

Covers the concepts of limits and continuity, focusing on the demonstration of various theorems.

Partial Derivatives: Taylor Formula

Explores partial derivatives, Taylor formula, examples, and extrema of functions.

Local Extrema of Functions

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

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.

Functions and Derivatives

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

Gradient and Taylor Formula

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.