Approximation of Functions

This lecture introduces the concept of approximating functions using tangent lines, focusing on the calculation of values close to a given point on the graph. The instructor explains how to use the derivative of a function to find the equation of the tangent line and demonstrates the process with examples involving square root functions. The lecture also covers the approximation of values using linear functions and provides calculations for specific points on the graph. Additionally, the instructor discusses the importance of understanding derivatives for accurate function approximation.