Mathematics 101
Calculus I
Chapter 4: USING THE DERIVATIVE
Sections
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.
Homework
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 for Chapter 4
Consolidate your understanding of the concepts in this chapter by working through a number of these exercises.
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
cparrish@sewanee.edu