# How Do You Find The Difference Quotient

## How Do You Find The Difference Quotient? 0:15

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Function now the difference quotient is represented by this formula it’s f of X plus h minus f of XMoreFunction now the difference quotient is represented by this formula it’s f of X plus h minus f of X over H. Now we already have f of X is 7x what do you think f of X plus h represents.

## What is the easiest way to find the difference quotient?

The steps we take to find the difference quotient are as follows:
1. Plug x + h into the function f and simplify to find f(x + h).
2. Now that you have f(x + h) find f(x + h) – f(x) by plugging in f(x + h) and f(x) and simplifying.
3. Plug your result from step 2 in for the numerator in the difference quotient and simplify.

## What does find the difference quotient mean?

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.