Functions and Coordinate Changes

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Related lectures (23)

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Derivability and Continuity

Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.

Derivatives and Functions: Definitions and Interpretations

Covers the definition of derivative functions and their interpretation, focusing on differentiability, velocity, and curve lengths.

Functions: Differentials, Taylor Expansions, Integrals

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Differentiability and Matrices

Explores differentiability, matrices, Jacobian matrix, and derivatives calculation.

Differentiation and Coordinate Changes in Multivariable Functions

Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.

Theorem of Generalized Mean Value: Study of Functions

Explores the conditions for continuity and differentiability of functions on a closed interval.

Lateral Derivatives and Derivative Limits

Explores lateral derivatives, limits of derivatives, and function differentiability at specific points.

Functions and Derivatives

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

Derivatives: Definition and Properties

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

Differentiability: Functions and Matrices

Explores differentiability for functions and matrices, covering partial differentiability, the Jacobean matrix, and the chain rule.