# Difference Quotient Calculator

A difference Quotient Calculator is a tool used to display the slope of the secant line between two points. Our Online Difference Quotient Calculator makes it fast and easy.

## How to Use the Difference Quotient Calculator?

The process for using the difference quotient calculator is as follows:

Step 1: Enter two functions in the individual input field

Step 2: Now click the button “Calculate Quotient” to get the solution

Step 3: The difference quotient will be shown in the new window

### Difference Quotient Formula

The difference quotient equation calculates the approximated form of the derivative as:
\$\$ f(x) = f(x + h) – f(x) / h \$\$
Where “h” is the step size and f(m) is a function. This computes the rate of change of given function f(x) over the interval [x, x + h].

### Difference Quotient Example:

Example #1:

Solve the difference quotient of a function (f) defined by

\$\$ F(x) = x^2 + 4 \$\$

Solution:

The formula to find Difference Quotient is:

\$\$ f(x) = f (x + h) – f (x) / h \$\$

To find f(x + h), put x + h instead of x:

\$\$ f (x + h) = (x + h)^2 + 4 \$\$

Then,

\$\$ f(x) = f (x + h) – f (x) / h \$\$

\$\$ f(x) = ((x + h)^2 + 4) – (x^2 + 4) \$\$

\$\$ = h + 2x \$\$

Related Calculators

## FAQ:

Who found the difference quotient?

Does the average rate of change the same as the slope?

What is a quotient function?