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?**

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