Lectures related to Functions of LR: Differentiability

Explores the curl of a vector field and the calculation of path integrals in Cartesian coordinates.

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

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

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

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