## Mathematics 101## Calculus I |

*Chapter 4: USING THE DERIVATIVE*

- 4.1 Using First and Second Derivatives
- 4.2 Optimization
- 4.3 Families of Functions
- 4.4 Optimization, Geometry, and Modeling
- 4.5 Applications to Marginality
- 4.6 Rates and Related Rates
- 4.7 L'Hopital's Rule, Growth, and Dominance
- 4.8 Parametric Equations
- Biography and portrait of Guillaume Francois Antoine Marquis de l'Hospital (1661-1704)
- Wikipedia entries for Guillaume Francois Antoine Marquis de L'Hospital (1826-1866) and for l'Hospital's rule.

- 4.1 -- 7, 10, 12, 18, 19, 28, 30, 36, 41, 42, 45, 46.
- 4.2 -- 2, 4, 7, 8, 11, 20, 24, 28, 32, 35, 40.
- 4.3 -- 2, 6, 10, 24, 33, 43.
- 4.4 -- 12, 14, 18, 22, 32, 34, 48 (additional problems: 20, 21, 29, 30).
- 4.5 -- 1, 6, 12, 15, 20, 21.
- 4.6 -- 1, 10, 16, 21, 31, 32, 35.
- 4.7 -- 3, 6, 12, 23, 27, 29, 38.
- 4.8 -- 2, 3, 6, 14, 20, 21, 24, 35, 39, 44, 49.

- Review exercises and problems for chapter 4 -- 2, 3, 5, 8, 10, 12, 15, 21, 23, 26, 27, 28, 29, 30, 33, 36, 38, 41, 43, 45, 48, 49, 50, 52, 53, 54, 55, 59, 60, 61, 67