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Related lectures (30)
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Rolle's Theorem and Mean Value Theorem
Covers Rolle's Theorem and the Mean Value Theorem, discussing stationary points and extrema.
Analyse II: Stationary Points Classification
Covers the classification of stationary points in functions of two variables using the Hessian matrix.
Stationary Points Analysis
Covers the analysis of stationary points in functions, focusing on optimization methods.
Directional Derivatives
Explores directional derivatives in two-variable functions and extremum points.
Implicit Function Theorem
Explores the Implicit Function Theorem, supporting hyperplanes, local extrema, and higher-order derivatives, concluding with the classification of stationary points.
Implicit Function Theorem: Local Extrema
Explores the Implicit Function Theorem, local extrema, supporting hyperplanes, and higher-order derivatives.
Global Extrema of Functions in R^2
Explores global extrema of functions in R^2, discussing methods to find maximum and minimum points.
Optimization with Inequalities
Explores optimization with inequality constraints, emphasizing finding extreme values and stationary points.
Nature of Extremum Points
Covers the nature of extremum points and their classification as stationary or saddle points.
Chapter 5: Function Studies
Covers the study of functions, including limits, derivatives, and sign variations.