Differentiability of Functions: Properties and Methods

This lecture covers the properties of differentiable functions, including continuity, existence of partial and directional derivatives, and derivability. The instructor explains the concept of the tangent plane to the graph of a function, demonstrates methods such as strong recurrence, and discusses the differentiability of functions at specific points. The lecture also delves into the demonstration methods involving recurrence and provides a summary of generalized and simple recurrence techniques.