Convexity Study and Limiting Developments

This lecture covers the study of convexity and concavity, focusing on the definition of convex functions and their properties. It also explores the concept of limiting developments for functions, including the approximation of functions using polynomials and the uniqueness of limiting developments. The instructor explains how to find extrema of functions and the importance of derivative vanishing. Additionally, the lecture delves into the calculation of limiting developments and provides examples to illustrate the concepts discussed.