← Unit 3 - Applications of the Derivative 13. Rolle's Theorem and the Mean Value Theorem Check the hypotheses of Rolle's Theorem and the Mean Value Theorem and interpret their conclusions geometrically. Use average rates of change to determine where an instantaneous rate of change must occur.
Jump to topic: 1. Equations of Tangent and Normal Lines 2. Horizontal and Vertical Tangent Lines 3. Horizontal and Vertical Tangent Lines Implicitly 4. Using Your Graphing Calculator 5. Motion 6. Graphing the Derivative 7. Absolute and Local Extrema and the Extreme Value Theorem 8. Increasing/Decreasing Intervals, Concavity, and Extrema 9. Graphing Functions 10. Linearization and Differentials 11. Newton's Method for Approximating Roots of a Function 12. Tangent and Secant Line Approximations 13. Rolle's Theorem and the Mean Value Theorem 14. L'Hopital's Rule 15. Optimization 16. Related Rates Comprehensive Review Semester 1 Review
Lecture Video Rolle's Theorem and the Mean Value Theorem
Mean Value Theorem for Derivatives