Explore the concept of constrained optimization using LaGrange Multipliers in this comprehensive 59-minute lecture. Learn how to apply the Gradient and LaGrange Multipliers to optimize multivariable functions with constraints. Begin with an introduction to the fundamental idea, then delve into level curves and their significance. Progress through the core principles of constrained optimization, and conclude by tackling a challenging problem to reinforce your understanding. Gain valuable insights into this advanced calculus topic, presented in a clear and accessible manner.