

dy means “change in y over a small piece” and dx means “a small change in x.” The process of calculating a derivative is called differentiation. dy and dx are differentials, which basically means a very small slice of a function at a particular place. The derivative of a function g(x) can be written as g’(x). The prime (‘) symbol is just another way to denote a derivative. Just like the slope of a line is rise over run, or change in y divided by change in x, the derivative of a function is calculated by looking at the change in y divided by the change in x, except looking at only a very small slice of a function at a time. The derivative of a function is its slope at a particular point. This tutorial discusses the mathematical background of derivatives and demonstrates how to evaluate derivatives on the TI-83 Plus, TI-84 Plus, TI-89, TI-92 Plus, and Voyage 200. Derivatives are perhaps the most elementary topic in calculus and show up in practically every discipline, from the natural and social sciences to economics and finance.
