Lectures related to Taylor Series: Expansion and Properties

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.

Covers the computation of derivatives and the properties of differentiable functions.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

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

Explores the extension of the chain rule to higher dimensions and compositions of functions.

Explains partial derivatives, Hessienne matrix, and their properties.

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