Difference Quotient Calculator

About the Difference Quotient Calculator

Compute the difference quotient (f(x + h) − f(x))/h for a function, and see it approach the derivative as h → 0.

Also known as: difference quotient, f(x+h)-f(x)/h, newton quotient.

How to use this calculator

1. Enter f(x), x, h.
2. The result updates instantly as you type — press Calculate (or Enter) at any time.
3. Review the breakdown shown under the main result.
4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

Worked example

Using the values pre-filled in the calculator above:

• f(x): x^3
• x = 2
• h = 0.1

the calculator returns:

• Difference quotient: 12.61
• Derivative f′(x) (limit h → 0): 12