Topic: Mean Value Theorems

Rolle’s Theorem for Equal Endpoint Values

Proving Uniqueness from Derivative Signs

Proving Monotonicity with the Mean Value Theorem

Proving Inequalities by Comparing Derivatives

Proof Problems Using Rolle’s Theorem

Motion Constraints from Position and Velocity

Mixed Mean Value Theorem Applications

Mean Value Theorem Problems with Piecewise Functions

Mean Value Theorem Applications to Average Velocity

Instantaneous Rates Matching Average Rates in Models