Classes and Functions

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Related lectures (30)

Page 2 of 3

Explores conditions for local extrema in two and three variables, along with implicit functions and finding absolute minima and maxima.

Application of Taylor's approximation formula

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

Local Extremums of Functions in Multivariable Calculus

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

Implicit Functions: Extrema and Lagrange Multipliers

Explores extrema under constraints using Lagrange multipliers for optimization problems.

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.

Extrema of Functions

Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.

Directional Derivatives

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

Optimization of Functions: Maximum and Minimum

Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.

Extrema of Functions in Several Variables

Explains extrema of functions in several variables, stationary points, saddle points, and the role of the Hessian matrix.

Local Extremum Conditions: n=2 and n=3

Explains local extremum conditions for n=2 and n=3, critical points, and stationary points.