Partial Derivatives: Higher Order and Applications

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Introduces partial derivatives in functions of several variables and their properties.

Explores limits of functions in R^n and the importance of understanding derivatives in multiple dimensions.

Covers partial derivatives, gradient, and second partial derivatives with their applications.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Explains the concept of partial derivatives through various examples involving functions of two variables.

Explores partial derivatives and their role in determining tangents to graphs.

Explores partial derivatives of functions with multiple variables, emphasizing their definitions and properties.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.