Summary
Contents
This book of worked-out examples not only accompanies Timothy M. Hagle's earlier book Basic Math for Social Scientists: Concepts, but also provides an informal refresher course in algebra sets, limits and continuity, differential calculus, multivariate functions, partial derivatives, integral calculus, and matrix algebra. Problem sets are also provided so that readers can practice their grasp of standard mathematical procedures.
Multivariate Functions and Partial Derivatives
Multivariate Functions and Partial Derivatives
4.1 Partial Derivatives
Problem 4.1.1. Find the first-order partial derivatives (partials) of f(x, y) = 2x3 + y2.
Using the notation for partials, we are looking for and . Recall that when calculating the partial derivative with respect to one variable, we treat all appearances of the other variable(s) as constants. In all other respects, the rules of differentiation apply as usual. Here, in ...