# How To Use Difference Quotient

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## How To Use Difference Quotient?

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## Why do we use difference quotient?

The difference quotient can be used to find the slope of a curve as well as the slope of a straight line. … To find the slope of the curve or line we input the value of x to get the slope. The process of finding the derivative via the difference quotient is called differentiation.

## What does a difference quotient tell us about a function?

The difference quotient is a measure of the average rate of change of the function over an interval (in this case an interval of length h). The limit of the difference quotient (i.e. the derivative) is thus the instantaneous rate of change.

## How do you find the difference quotient of a rational function?

Vocabulary and Formulas for Finding the Difference Quotient For a Rational Function. Difference quotient: The difference quotient of a function f(x) is the formula f(x+h)−f(x)h f ( x + h ) − f ( x ) h .

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## How is FXH calculated?

To find f(x+h) substitute x = x + h into the function.

## Is difference quotient the same as derivative?

The difference quotient formula is a part of the definition of the derivative of a function. By taking the limit as the variable h tends to 0 to the difference quotient of a function we get the derivative of the function.