Фоменко Т. Н. - Математический анализ. Часть 1 - Лекция 15

In this lecture, the instructor covers several topics: at 00:00:10, the consequences of the second remarkable limit and a table of equivalent infinitesimal functions; at 00:21:01, differentiability of a single‑variable function, its derivative, and one‑sided derivatives; at 00:37:53, the physical and geometric meaning of the derivative; at 00:47:54, the differential of a function; at 00:55:13, the derivative of composite and inverse functions; and at 01:20:43, the invariance of the form of the first differential.