Functions of Class C^p

Related lectures (27)

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

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

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

Covers the calculation of partial derivatives of order 3 and the concept of differentiability in functions.

Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.

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

Covers differentiability theorems and methods to check for differentiability in functions.

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

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

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