Local Extrema of Multivariable Functions

Related lectures (26)

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Covers the concept of partial derivatives and properties of saddle points.

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

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

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

Covers parametric functions, integrals, and the origin of plasticity in metals.

Explores the terminology of extrema lies and optimization problems with constraints.

Explores differentiability, limits, and open sets in multivariable functions, with a focus on local minimums and continuity.

Revisits local and absolute extremums of multivariable functions, emphasizing critical points and their classification.

Explains how to find local extrema of functions using derivatives and critical points.

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