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Lecture
Asymmetric Functions and Extremas
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Related lectures (29)
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Local Extremum Points Determination
Focuses on determining local extremum points of functions through various examples.
Application of Taylor's approximation formula
Covers the application of Taylor's formula, including composition of functions and detecting local extrema.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Implicit Curves: Analysis & Regular Points
Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.
Taylor's Formula: Convexity, Inflection Points
Explores Taylor's formula, uniqueness of Taylor series, Mean Value Theorem, inflection points, and convexity.
Rolle's Theorem Exercise
Explores Rolle's theorem application and function extrema conditions.
Graph of a Function
Covers analyzing the graph of a function using a nine-point process.
Directional Derivatives
Explores directional derivatives in two-variable functions and extremum points.
Convexity and Concavity
Covers the definitions of convexity, concavity, stationary points, and inflection points.
Local Extremums of Functions in Multivariable Calculus
Revisits local and absolute extremums of multivariable functions, emphasizing critical points and their classification.