# What does difference quotient

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 single-variable calculus, the difference quotient is usually the name for the expression. f (x + h) − f (x) h {\displaystyle {\frac {f(x+h)-f(x)}{h}}} {\frac {f(x+h)-f(x) }. The difference quotient is a formula that finds the average rate of change of any function between two points. In calculus, the difference quotient is the formula.

Steps to Solve. The difference quotient is an important part of mathematics, especially calculus. Given a function f(x), and two input values. While it can seem daunting, the difference quotient is a great tool to find the slope of the secant line of a curve. This lesson will break down. This Precalculus review (Calculus preview) lesson reviews the difference quotient and gives an intro to how it is used in Calculus.

This algebra lesson explains how to find the difference quotient. f(x+h) in the last lesson? Because it shows up in a formula that is super important in Calculus!. How to find and simplify the difference quotient of a given function. This slope is very important in calculus where it is used to define the derivative of function f. The difference quotient shows up in most high school Algebra II classes as an exercise you do after your instructor shows you the composition of functions.