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Related lectures (29)
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Optimization: Constrained Volume Problems
Explores constrained volume problems using Lagrange multipliers to find extrema under constraints in various examples.
Optimization: Local Extrema
Explains how to find local extrema of functions using derivatives and critical points.
Extrema of Functions in Several Variables
Explores the conditions for local extrema of functions in several variables, including critical points and the Hessian matrix.
Local Extrema of Functions
Discusses local extrema of functions in two variables around the point (0,0).
Implicit Functions Theorem
Discusses finding min and max of functions on compact sets and the theorem of implicit functions.
Taylor Polynomials and Extrema
Explores Taylor polynomials, extrema, Lagrange multipliers, and critical points in multivariable calculus.
Analyzing Critical Points in Finite Solutions
Explores critical points in finite solutions, emphasizing isolated points and their significance.
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 with Lagrange Multipliers
Covers advanced optimization techniques using Lagrange multipliers to find extrema of functions subject to constraints.