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Extrema of Functions
Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.
Local Extremums of Functions in Multivariable Calculus
Revisits local and absolute extremums of multivariable functions, emphasizing critical points and their classification.
Applications of Differential Calculus
Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.
Extrema of Functions in Several Variables
Explains extrema of functions in several variables, stationary points, saddle points, and the role of the Hessian matrix.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Local Extremum Points Determination
Focuses on determining local extremum points of functions through various examples.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Finding Absolute Extrema in Multivariable Functions
Covers the conditions for finding absolute extrema in multivariable functions.
Stationary Points and Saddle Points
Explores stationary points, saddle points, symmetric matrices, and orthogonal properties in optimization.
Optimization Techniques: Local and Global Extrema
Discusses optimization techniques, focusing on local and global extrema in functions.