Differential Calculus: Introduction and Summary

Related lectures (23)

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

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

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

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

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

Covers methods of demonstrations and differential calculus of functions of several variables.

Explores the fundamental principle of the recurrence method and differential calculus of functions of several variables.

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

Explores functions of class C^p, Hessian matrices, and methods to verify differentiability at a point.

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