This calculus video tutorial explains the concept behind Rolle’s Theorem and the Mean Value Theorem For Derivatives. This video contains plenty of examples and practice problems.

Here is a list of topics:

1. Conditions / Hypotheses of Rolle’s Theorem

2. f is continuous on the closed interval [a,b]

3. f is differentiable on the open interval (a,b)

4. f(a)=f(b) and f'(c)=0

5. Rolle’s Theorem – Graphical Examples – slope is a horizontal tangent line

6. Rolle’s Theorem – Polynomial Functions, Radical or Square Root Functions, Cusps, absolute value functions, and other examples

7. Mean Value Theorem – f'(c)=[f(b)-f(a)]/(b-a)

8. The slope of the tangent line is equal to the slope of the secant line

9. How to find the c value guaranteed by Rolle’s Theorem

10. How to calculate / determine the c value guaranteed by the mean value theorem for derivatives