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Lecture
Local Inversion Theorem
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Related lectures (42)
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Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Finding Absolute Extrema in Multivariable Functions
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Covers the conditions for finding absolute extrema in multivariable functions.
Directional Derivatives
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Explores directional derivatives in two-variable functions and extremum points.
Application of Taylor's approximation formula
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Covers the application of Taylor's formula, including composition of functions and detecting local extrema.
Optimization of Functions: Maximum and Minimum
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Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.
Optimization Techniques: Local and Global Extrema
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Focuses on determining local extremum points of functions through various examples.
Extrema of Functions in Several Variables
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Explains extrema of functions in several variables, stationary points, saddle points, and the role of the Hessian matrix.
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Covers the theorems on continuous functions and extremums in compact sets.
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