Question

How do you find the average rate of change for the function `f(x) = x^3 − 3x^2` on the indicated intervals [0,10]?

Answer 1

Average rate of change is 70. To put more meaning into it, it is 70 units of a per unit of b. Example: 70 mph or 70 Kelvins per second.

Explanation:

Average rate of change is written as:
`(Deltaf(x))/(Deltax)=(f(x_a)-f(x_b))/(x_a-x_b)`

Your given interval is `[0,10]`. So `x_a=0` and `x_b=10`.

Plugging in the values should give 70.

This is an introduction to the derivative .