Average Rate of Change Calculator (Free, with Graph)
Use this free average rate of change calculator to find how fast a function changes on average over an interval — the slope of the secant line from a to b — with a graph and step-by-step working.
The formula
Average rate of change = (f(b) − f(a)) / (b − a). Geometrically it is the slope of the line (the secant) joining the two endpoints on the curve.
Original price was: $109.99.$54.99Current price is: $54.99.
How to use it
- Enter a function of x.
- Enter the interval endpoints a and b.
- Press Compute.
Related: the Slope Calculator and more free math calculators.
Frequently asked questions
How is this different from the derivative?
The derivative is the instantaneous rate at a single point; the average rate of change is over a whole interval.
Original price was: $109.99.$54.99Current price is: $54.99.
What does it represent on a graph?
The slope of the secant line connecting the two endpoints.
Original price was: $109.99.$54.99Current price is: $54.99.
Can a and b be in any order?
They must differ; the sign of the result depends on the direction.
Original price was: $27.99.$17.99Current price is: $17.99.
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