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Lecture
Implicit Function Theorem: Local Extrema
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Related lectures (51)
Implicit Function Theorem
Explores the Implicit Function Theorem, supporting hyperplanes, local extrema, and higher-order derivatives, concluding with the classification of stationary points.
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Derivative and Local Extrema Study
Explores the study of local minima and maxima through derivatives and sign changes.
Partial Derivatives: Extrema and Hessians
Discusses extrema of functions with multiple variables and the hessian matrix.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Taylor's Formula: Developments and Extrema
Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.
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Points 7-9 du procédé
MOOC: Analysis I
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Covers the analysis of local and global extrema, concavity, and inflection points.
Function Studies: Limits, Derivatives, and Convexity
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Explores partial derivatives, Taylor formula, examples, and extrema of functions.
Inflection Points
MOOC: Analysis I
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Explores inflection points in functions, emphasizing the role of the second derivative.
Derivatives and Continuity in Mathematics
Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.
Optimization: Stationary Points and Local Extrema
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Covers the concept of stationary points in optimization and how to identify local extrema.
Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums
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Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.
Differential Calculation: Trigonometric Derivatives
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Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Derivatives and Convexity
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Explores derivatives, local extrema, and convexity in functions, including Taylor's formula and function compositions.
Extreme Points of Functions
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Covers the definition of extremum of a function and necessary conditions for local extrema.
Directional Derivatives
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Explores directional derivatives in two-variable functions and extremum points.
Rolle's and Mean Value Theorem
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Covers higher derivatives, local extrema, and the application of Rolle's and Mean Value Theorems.
Implicit Curves: Analysis & Regular Points
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Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.
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