Mean Value Theorem: Let \(f\) be a function that satisfies the following:
\[f'\left( p \right) = \frac{{f\left( b \right) - f\left( a \right)}}{{b - a}}\]
- \(f\) 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
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