Objective function, Differentiability, the first order

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

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

Explores Hessians, directional derivatives, and function continuity in advanced analysis.

Explains partial derivatives, Hessienne matrix, and their properties.

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