Section 4.2
Rolle's Theorem
Suppose we have a function that...
1.
2.
3.
a b
a b
a b
Rolle's Theorem helps us locate extreme values.
Example: Consider the closed interval [­2, 2].
a b
Example:
Consider the closed interval [­1, 3].
The Mean Value Theorem...takes Rolle's Theorem one step farther.
Suppose there is a function that...
1. 2. a b
Example: Does the Mean Value Theorem apply in the following case?
Interval: [0.5, 2]