Lagrange Multipliers Theorem

This lecture covers the Lagrange multipliers theorem for n>2, focusing on the proof and application of the theorem in optimization problems. The slides present the step-by-step proof of the theorem, including examples and constraints. The instructor explains how to find extrema using Lagrange multipliers and demonstrates the process with various functions. Additionally, the lecture discusses the concept of constrained optimization and provides insights into maximizing or minimizing functions under given constraints. The presentation concludes with practical examples and calculations to illustrate the application of the Lagrange multipliers theorem.