Average Rate of Change Calculator
Average Rate of Change: calculate results from explicit inputs, with a formula and worked example.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Real finite inputs. Numeric results use floating-point arithmetic; this is not a symbolic computer algebra system. Enter evaluated function values; this tool does not parse formulas.
Example Calculation
- x₁: 1
- f(x₁): 2
- x₂: 4
- f(x₂): 11
From (1,2) to (4,11), the change 9 over interval 3 gives rate 3.
Frequently asked questions
How do I use this calculator?
Enter x₁, f(x₁), x₂, f(x₂). The result updates automatically. Use Reset to restore the example values.
What method does it use?
average rate = [f(x₂)−f(x₁)]/(x₂−x₁). Real finite inputs. Numeric results use floating-point arithmetic; this is not a symbolic computer algebra system. Enter evaluated function values; this tool does not parse formulas.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.