Differentiability and Tangent Planes

This lecture covers the concept of differentiability in functions, focusing on examples and exercises related to the derivative of functions at specific points. It also delves into the geometric interpretation of tangent planes to the graph of a function, providing insights on how to determine the equation of a tangent plane. Additionally, the lecture discusses properties of infinitely differentiable functions and various notations used to represent differentiability and continuity in functions.