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Lecture
Lagrange Method: 2 Constraints
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Related lectures (28)
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Rolle's Theorem: Applications and Examples
Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.
Directional Derivatives
Explores directional derivatives, their calculation, examples, and cases of lack of continuity.
Intermediate Value Theorem
Covers the Intermediate Value Theorem and its applications in finding solutions of equations and understanding the properties of continuous functions.
Differential Equations: Solutions and Derivatives
Explores differential equations solutions, derivatives, differentiability, composite functions, and continuous functions.
Comparing Functions
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Explores using Bernoulli de l'Hospital's theorem to compare functions' asymptotic behavior.
Surjectivity of Derivative Application
MOOC: Analysis I
MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)
Covers the surjectivity of the derivative application for continuous functions on closed intervals.
Differential Functions: Derivability and Gradient
Explores differentiability in functions and the role of gradients in directional derivatives.
Closed Intervals: Definitions and Remarks
MOOC: Analysis I
MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function
Explains definitions and remarks about closed intervals in functions.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Derivatives Operations
Covers algebraic operations on derivatives and the concept of continuity and differentiability.
Differential Calculus: Introduction and Summary
Introduces and summarizes differential calculus, covering continuous functions, limits, differentiability, and tangent planes.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Derivatives and Local Extrema
Explores derivatives, local extrema, and function variation in mathematical analysis.
Advanced Analysis: Differential Equations Overview
Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.
Examples: Function Spaces
MOOC: Linear Algebra (Part 2)
Covers various examples of function spaces and linear applications between them.
Gradient and Taylor Formula
Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.
Continuous Functions and Derivatives
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Covers the definitions of continuous functions and derivatives, emphasizing the concept of functions being continuous at a point and the notion of derivatives.
Differentiability: Partial Derivatives and Hessiennes
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Explains partial derivatives, Hessienne matrix, and their properties.
Differentiability of Functions of Several Variables
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Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
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