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Related lectures (49)
Implicit Examples: Hyperplane and Stationary Points
Illustrates finding hyperplanes for surfaces and determining stationary points.
Points 7-9 du procédé
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Covers the analysis of local and global extrema, concavity, and inflection points.
Inflection Points
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Explores inflection points in functions, emphasizing the role of the second derivative.
Function Studies: Limits, Derivatives, and Convexity
Covers the essential elements for studying a function, including its domain, behavior at boundaries, limits, derivatives, and points of inflection.
Implicit Function Theorem
Explores the Implicit Function Theorem, supporting hyperplanes, local extrema, and higher-order derivatives, concluding with the classification of stationary points.
Derivative and Local Extrema Study
Explores the study of local minima and maxima through derivatives and sign changes.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Partial Derivatives: Extrema and Hessians
Discusses extrema of functions with multiple variables and the hessian matrix.
Concavity and Convexity: Analysis of Functions
Explores concavity, convexity, critical points, and singularities in functions.
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.
Directional Derivatives
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Explores directional derivatives in two-variable functions and extremum points.
Applications of Differential Calculus
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Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.
Derivatives and Convexity
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Explores derivatives, local extrema, and convexity in functions, including Taylor's formula and function compositions.
Optimization: Stationary Points and Local Extrema
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Covers the concept of stationary points in optimization and how to identify local extrema.
Optimization Techniques: Local and Global Extrema
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Discusses optimization techniques, focusing on local and global extrema in functions.
Extrema of Functions
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Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.
Mathematical Methods for Materials Science: Integrals, Exact Differentials
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Explores limits, derivation rules, integrals, and exact differentials for practical applications.
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.
Local Extremums of Functions in Multivariable Calculus
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Revisits local and absolute extremums of multivariable functions, emphasizing critical points and their classification.
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