Lectures related to Derivative Rule of Bernoulli-l'Hôpital

Covers the Theoreus Chain Role for Lipschitz functions and its practical applications.

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

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

Covers Rolle's Theorem and the Mean Value Theorem with illustrative examples.

Explains definitions and remarks about closed intervals in functions.

Discusses the Extreme Values Theorem for continuous functions on closed intervals.

Explores Rolle's Theorem for continuous and differentiable functions on closed intervals.

Covers the definitions of differentiable and derivable functions and their geometric interpretation.

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Explores the equivalence between being derivable and differentiable functions, with examples like sin(x) at x=0.