Average Rate of Change Calculator

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Choose whether to enter coordinates directly or a function expression.
The x-coordinate of the first point.
The y-coordinate (function value) at the first point.
The x-coordinate of the second point.
The y-coordinate (function value) at the second point.
Average Rate of ChangeIncreasing
2

Slope of the secant line = (y2 - y1) / (x2 - x1)

Δy (change in y)8
Δx (change in x)4
As a fraction2
delta y8
delta x4
Rate of change2

The function is increasing at an average rate of 2 per unit of x.

  • Over a change of 4 in x, the output changes by 8 (delta y = 8, delta x = 4).
  • Points (1, 3) and (5, 11) are connected by a secant line with slope 2.
  • As the interval shrinks toward a single point, this average rate approaches the instantaneous rate of change (the derivative).

Next stepTo find the instantaneous rate at a specific point, differentiate the function and evaluate it there.

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