# Mean value theorem review

Review your knowledge of the mean value theorem and use it to solve problems.

## What is the mean value theorem?

The mean value theorem connects the average rate of change of a function to its derivative. It says that for any differentiable function and an interval (within the domain of ), there exists a number within such that is equal to the function's average rate of change over .

Graphically, the theorem says that for any arc between two endpoints, there's a point at which the tangent to the arc is parallel to the secant through its endpoints.

*Want to learn more about the mean value theorem? Check out this video.*