# What does the difference quotient tell you

In single-variable calculus, the difference quotient is usually the name for the expression .. A divided difference, however, does require further elucidation, as it equals the By using this site, you agree to the Terms of Use and Privacy Policy. The difference quotient, however, allows you to find the slope of any curve or line at any single point. The difference quotient, as well as the slope formula. line through two points on the graph of f. These are the points with x- coordinates x and x + h. The difference quotient is used in the definition the derivative.

In the formal definition of the difference quotient, you'll note that the slope we When working with a function, all you have to do is plug (x + h) into your This subtraction sign tells us to change the sign in everything inside of. In this lesson, we'll learn the definition of the difference quotient and how Now that you have f(x + h), find f(x + h) - f(x) by plugging in f(x + h) to do is plug this in for the numerator in the difference quotient and .. tell me more. The difference quotient is useful when you want to find the slope of a secant How does the DuckDuckGo app/extension protect my privacy?.

This Precalculus review (Calculus preview) lesson reviews the difference quotient You probably saw this semi-obnoxious thing in Algebra. Now do, f( blob). This algebra lesson explains how to find the difference quotient. The Difference Quotient. OK, so why did I get such a charge out of finding f(x+h) in the last lesson ? Because it shows So, you're going to be given a function like. f(x) = x + 2. The difference quotient — along with limits — allows you to take the regular slope you want — the slope of the line when the point does land on top of (2, 4).