Lectures related to Partial Derivatives: Taylor Formula

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Presents the solution to finding the second-order Taylor polynomial of a function.

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

Covers the concept of partial derivatives and their applications in mathematical analysis.

Covers the concepts of limits and continuity, focusing on the demonstration of various theorems.

Explains how to find local extrema of functions using derivatives and critical points.

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

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

Covers the properties of functions in Rn and the computation of partial derivatives by induction.

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

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

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

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

Explores differentiability in functions and the role of gradients in directional derivatives.

Covers the concept of functional derivatives and their calculation process with examples.

Covers the basics of derivatives, limits, composite functions, partial derivatives, and primitives in physics.

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

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.