NEKG33 Mathematical methods for economists
Chapter 9 : Day 09: Partial derivatives
By Lund University
Ordinary derivatives are for newbies. Today we move on from functions of a single variable to functions of several variables and do partial derivatives.
Functions of two variables
In this section we investigate functions z = f(x,y).
Problem: Evaluate a function of two variables
Problem: Evaluate a function of two variables
Partial derivatives
For a function of two variables, we can define two derivatives, one for each variable. Such derivatives are called partial derivatives. Similarly, we get 4 second order partial derivatives.
Partial derivatives, rough introduction
Partial derivatives: Problems
Exercises on partial derivatives.