Chapter 5 Partial Differentiation Chapter 5 Partial Differentiation Nguyen Thi Minh Tam ntmtam vnuagmail com December 1, 2020 1 5 1 Functions of several variables 2 5 2 Partial elasticity and marginal functions 3 5 4 Unconstrained optimisation 4 5 5 Constrained optimisation 5 5 6 Lagrange multipliers 5 1 Functions of several variables Functions of two variables A function f of two variables is a rule that assigns to each ordered pair of real numbers (x,y) a unique real number denoted by f (x,y).