Derivatives and ContinuityCovers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.
Chain RulesExplores the extension of the chain rule to higher dimensions and compositions of functions.
Taylor expansions: second orderExplores Taylor expansions and retractions on Riemannian manifolds, emphasizing second-order approximations and covariant derivatives.
Power Functions: DefinitionExplores power functions with functions as base and exponent, emphasizing exponential function continuity and derivative analysis.
