**Mean Value Theorem:**Let \(f\) be a function that satisfies the following:

- \(f\) is continuous on a closed interval \([a, b]\).
- \(f\) is differentiable on the open interval \((a,b)\).

\[f'\left( p \right) = \frac{{f\left( b \right) - f\left( a \right)}}{{b - a}}\]

**Instructions:**With the mouse, move points A and B along the function to see the Mean Value Theorem in action. Refresh browser to start over.

**YouTube Video Lectures**by Rob Shone