Local Extremum Conditions: n=2 and n=3

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Explores directional derivatives in two-variable functions and extremum points.

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.

Euler-Lagrange Equations

Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.

Stationary Points: Necessary Conditions and Examples

Covers necessary conditions for extrema and provides illustrative examples.

Extrema of Functions

Covers the concept of extrema of functions, including local and global maxima and minima.

Stationary Points Analysis

Covers the analysis of stationary points in functions, focusing on optimization methods.

Local Inversion Theorem

Explores the Local Inversion Theorem and extremum points in functions.

Analyse II: Stationary Points Classification

Covers the classification of stationary points in functions of two variables using the Hessian matrix.

Derivatives and Reciprocal Functions

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

Nature of Extremum Points

Covers the nature of extremum points and their classification as stationary or saddle points.