## Pages

### Interactive: Mean Value Theorem

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 $$(a,b)$$.
Then there is a number $$p$$ in $$(a,b)$$ such that
$f'\left( p \right) = \frac{{f\left( b \right) - f\left( a \right)}}{{b - a}}$

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