Dive into the world of multivariable calculus with this comprehensive lecture on partial derivatives. Learn how to find the slope of a tangent line to a surface in both X and Y directions, mastering the concept of partial derivatives through numerous examples. Explore implicit differentiation and higher order partial derivatives, gaining a solid foundation in the derivatives of multivariable functions. This in-depth, 2.5-hour video lecture provides a thorough understanding of Calculus 3 concepts, perfect for students and enthusiasts looking to expand their mathematical knowledge.