Differential Functions: Derivability and Gradient

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Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

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

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

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.

Explains partial and directional derivatives, and functions' derivability.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Covers the concept of partial derivatives and their applications in mathematical analysis.