Partial Derivatives Rules

This lecture covers rules of derivation, focusing on the partial derivative of a functional and the cyclic identity of partial derivatives. The instructor explains the importance of considering enthalpy as a function of entropy and pressure, despite chemists preferring to work with temperature and pressure. The lecture delves into calculating differentials and showcases the mathematical process of deriving functions with multiple variables. Additionally, the cyclic identity of partial derivatives is explored through examples involving functions of multiple variables. The instructor demonstrates how to manipulate differential expressions to prove mathematical properties related to partial derivatives.