Lectures related to Local Extrema of Functions

Derivatives and Approximations: Logarithmic Functions

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

O-Notation, Local Extrema

Covers O-Notation, local extrema, and critical points in functions.

Optimization: Lagrange Multipliers

Covers the method of Lagrange multipliers to find extrema subject to constraints.

Derivatives and Reciprocal Functions

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

Minimization of functions

Explores techniques for minimizing functions and finding critical 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.

Optimization: Stationary Points and Local Extrema

Covers the concept of stationary points in optimization and how to identify local extrema.

Advanced analysis II: implicit functions theorem

Covers the implicit functions theorem, vectorial functions, hypersurfaces intersection, and extrema of real functions.