Tangent to Graph of a Function

This lecture covers the concept of finding the equation of the tangent line to the graph of a function at a point. It explains the motivation behind calculating this equation and explores examples of non-differentiable functions. The lecture also delves into the derivative of functions, including elementary functions and their rules. Additionally, it discusses the derivability of functions, continuity, and the Leibniz notation. The presentation concludes with the derivation rules for elementary functions and the exponentiation rule. Various examples and proofs are provided throughout the lecture.