Lectures related to Analyse I: Derivatives and Continuity

Explores limits of functions in R^n and the importance of understanding derivatives in multiple dimensions.

Covers the derivative of the composition of two functions and the chain rule theorem.

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

Explores the existence of the gradient in R2 and its implications on derivability and directional derivatives.

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

Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.

Covers the definition of directional derivative and provides illustrative examples.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Covers partial derivatives, gradient, and second partial derivatives with their applications.