Lectures related to Derivatives of Functions: Differentiability and Matrices

Explains partial derivatives, Hessienne matrix, and their properties.

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

Covers derivatives, notations, composition of functions, and multiple derivatives in advanced analysis.

Explores differentiability in two variables and the chain rule for compositions.

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

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

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

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

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

Explains differentiability in LR functions and introduces the Jacobian matrix.

Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

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

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

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.

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

Explains partial and directional derivatives, and functions' derivability.

Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.

Covers Taylor polynomials, function properties, double integrals, partial derivatives, and function boundaries.