## Exercise List

 The following exercises are good practice. It is essential that you work as many of them as you have time for, or work the corresponding problems on MyMathLab's Study Plan (if applicable). Test questions will be of the types listed here. Additional practice problems can be found on the test archive.
 SECTION MATERIAL PRACTICE EXERCISES FOR FINAL EXAM: Hammack 3.1 Trig review 1–41 Background material -- be able to compute trig functions Hammack 3.2 Solving triangles 1–11 Background material -- be able to do this Hammack 3.4 Solving trig equations 1–13 Background material -- be able to do this Hammack 4.1 Inverse functions 1–6 Mostly background -- just know main ideas Hammack 4.2 Graphing inverses 1–6 Mostly background -- just know main ideas Hammack 4.3 Finding inverses 1–14 Mostly background -- just know main ideas Hammack 5.1 Exponents 1–21 Mostly background -- just know main ideas Hammack 5.2 Exponential functions 1–6 Mostly background -- just know main ideas Hammack 5.3 Logarithmic functions 1–19 Mostly background -- just know main ideas Hammack 5.4 Logarithm laws 1–18 Mostly background -- just know main ideas Hammack 5.5 Natural exponential and log functions 1–18 Mostly background -- just know main ideas Hammack 6.1 Inverse sin 1–8 Background material -- be able to work with inverse trig functions Hammack 6.3 Inverse tan and sec 1–28 Background material -- be able to work with inverse trig functions Hammack 6.5 Simplifications 1–12 Mostly background -- just know main ideas B&C 2.2 Introduction to limits 1–13, 21–23, odd Mostly background -- just know main ideas B&C 2.3 Computing limits 11–51, 61–79, odd Important! B&C 2.4 Infinite limits 9–51, odd Important! B&C 2.5 Limits at infinity 9–33; 41–49; 53–63, odd Important! B&C 2.6 Continuity 9–55; 59–63; 71–79, odd Mostly background -- just know main ideas B&C 3.1 Definition of the derivative 27–39, odd Know the definition of a derivative B&C 3.2 Working with derivatives 5–15, odd Important! B&C 3.3 Rules for differentiation 5–47, odd Important! B&C 3.4 Product and quotient rules 7–31; 37–49, odd Important! B&C 3.5 Derivatives of trig functions 17–47; 57–67,odd Important! B&C 3.6 Derivatives as rates of change 11–17, odd Velocity and acceleration only B&C 3.7 Chain rule 7–37; 41–67; 79–81, odd Important! B&C 3.8 Implicit differentiation 5–53, odd Important! B&C 3.9 Derivatives of logs and exponentials 9–29; 35–67; 71–81; 85–91, odd Important! B&C 3.10 Derivatives of inverse trig functions 7–33; 37–51, odd Important! B&C 3.11 Related rates 7–39, odd Important! B&C 4.1 Maxima and Minima 11–49, odd Important! B&C 4.2 What derivatives tell us 11–81, odd Important! B&C 4.3 Graphing functions 9, 11, 21, 35, 49 Mostly background -- just know main ideas B&C 4.4 Optimization problems 7–27, odd Important! B&C 4.5 Linear approximation and differentials NONE! Not on test/exam B&C 4.6 Mean value theorem NONE! Not on test/exam B&C 4.7 L'Hopital's rule 13–67, odd Important! B&C 4.9 Antiderivatives 11–93, odd Important! B&C 5.1 Approximating areas 41 Mostly background -- just know main ideas B&C 5.2 Definite integrals 21–45, odd Mostly background -- just know main ideas B&C 5.3 Fundamental theorem of calculus 23–69, odd Important! B&C 5.4 Working with integrals 7–29, odd Important! B&C 5.5 Substitution method 9–77, odd Important!