CALCULATOR
Average Rate of Change Calculator
average rate of change. Example: Start value: 2 units, End value: 2 units, Positive horizontal span: 4 x units gives 0 units/x unit. Horizontal span is a supplied positive x-end minus x-start. Not an instantaneous derivative. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
Horizontal span is a supplied positive x-end minus x-start. Not an instantaneous derivative. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Secant slope is signed vertical difference over horizontal difference.
Accepted inputs: Start value: -1,000,000 to 1,000,000 units; End value: -1,000,000 to 1,000,000 units; Positive horizontal span: 0.001 to 1,000,000 x units.
How the calculation works
average change = (end−start)/positive span
Worked example
With start value 2 units, end value 2 units, positive horizontal span 4 x units, average rate of change is 0 units/x unit.
Assumptions and limits
Horizontal span is a supplied positive x-end minus x-start. Not an instantaneous derivative. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Secant slope is signed vertical difference over horizontal difference.