Lectures related to Generalized Finite Increments

Explores finding the equation of the tangent line to a function's graph at a point.

Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

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

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Explores derivatives, local extrema, and function variation in mathematical analysis.

Explores derivability, continuity, and composite functions with illustrative examples.

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

Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.

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

Covers the generalization of the TAF theorem, lateral derivatives, limits of derivatives, and indeterminacy.

Revisits the definition of differentiability and the existence of derivatives for functions in open intervals.

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

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

Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.

Explains partial derivatives, Hessienne matrix, and their properties.

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

Explores the connection between limit existence and function continuity, emphasizing derivative properties and function graphs.

Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.