Change of Variables: Derivative and Application

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Derivative and Local Extrema Study

Explores the study of local minima and maxima through derivatives and sign changes.

Differentiability: Partial Derivatives and Hessiennes

Explains partial derivatives, Hessienne matrix, and their properties.

Differential Functions and Tangent Plan

Covers differentiable functions, derivatives, and tangent planes in mathematics.

Continuity and Differentiability of Functions

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.

Partial Derivatives and Differentiability

Explores partial derivatives, differentiability conditions, and verification methods, emphasizing the importance of continuity.

Differentiable Functions in R²

Explores differentiable functions in R², including vector fields and coordinate transformations.

Differentiation and Coordinate Changes in Multivariable Functions

Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.

Differentiability and Partial Derivatives

Explores differentiability in two variables and the chain rule for compositions.

Derivability and Differentiability

Covers derivability, differentiability, rules of differentiation, and the relationship between differentiability and continuity.

Computing Derivatives: Derivatives and Algebraic Operations

Covers the computation of derivatives and the properties of differentiable functions.