Average Rate of Change Calculator

Here is a simple online calculator to find the Average Rate of Change of a function over a given interval. This function describes the average rate at which one quantity is changing with respect to an other changing quantity. It can be formulated as the change in the value of a quantity divided by the elapsed time.

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Formula:

c = (f(A) - f(B)) / (A-B) Where, c = Average Rate of Change e = Expression A = A Value B = B Value

For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph. With reference to trigonometry, it can be defined as the slope of the secant line that passes through two given points. In the above calculator enter an expression and the values of A and B and click calculate to find the value of 'Average Rate of Change'

Example

Let us consider an equation 2x^3 + 3x + 2, with A value as 3 and B value as 2.

f(a) = 2(3)^3 + 3(3) + 2
    = 54 + 9 + 2 = 65
f(b) = 2(2)^3 + 3(2) + 2
    = 16 + 6 + 2 = 24
Hence, average rate change = 65 - 24 / 3 - 2
    = 41

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