Partial Derivatives: Gradient and Theorem of Mean Value

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Explores differentiability in functions and the role of gradients in directional derivatives.

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

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Explores differentiability, gradients, and the Mean Value Theorem for functions.

Explains partial derivatives, Hessienne matrix, and their properties.

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