Functions and Coordinate Changes

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Related lectures (23)

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Differentiability of Functions of Several Variables

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

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Differentiability and Derivatives

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

Differentiability and Tangent Planes

Explores differentiability in functions and geometric interpretation of tangent planes.

Differentiability of Functions in Two Variables

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

Differentiability and Tangent Planes in Multivariable Functions

Covers differentiability in multivariable functions and the existence of tangent planes, emphasizing geometric interpretations and practical applications.

Functions of Class C^p

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

Differentiability and Tangent Lines

Explores differentiability, tangent lines, and graph interpretation.

Derivatives and Continuity in Multivariable Functions

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

Differentiability and Composition

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