Differentiable Functions: Definitions and Properties

Related lectures (27)

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Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Explains differentiability in LR functions and introduces the Jacobian matrix.

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

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

Explores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.

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

Covers the definition of differentiable functions and explores the representation of the remainder in derivatives.

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

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Covers the definition of derivatives and provides examples of differentiable functions.