It explains how to find the difference quotient of a function with fractions and how to find the difference quotient with square roots. This video contains plenty of examples and...

Difference quotient measures the average rate of change of a given function. Master the difference quotient formula and learn helpful tricks!

Free Online Difference Quotient Calculator - calculate the difference quotient of functions step by step

The difference quotient is one way to find a derivative or slope of a function. Step by step example and where the formula comes from.

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.

Let's try a smaller value of Δx: Example continued: try Δx = 0.01. As Δx heads towards 0, the value of the slope heads towards the true slope at that point. In this case, as Δx gets smaller the slope seems …

Now that we have a better understanding of the difference quotient and what it is used for, let's learn how to calculate the difference quotient for various functions.

Here's how you solve it step-by-step: Identify the function f (x). Substitute x + h into the function to find f (x + h). f (x). Divide the result by h. Let's do an example with f (x) = x 2: So, the difference quotient for …

Jul 23, 2025 · The derivative of a function is obtained by applying the limit as the variable h goes to 0 to the difference quotient of a function. Let's take a look at the difference quotient formula as well as its …

Examples, solutions, videos, worksheets, and activities to help PreCalculus students learn how to find the difference quotient of a function. The following figures show the Difference Quotient formula and …