Math 190 - Chapter 3 Study Guide

1. Find the derivative of the function f by using the rules of differentiation. Simplify all results except for *'d problems. 12 parts. Look at problems 3.1.1 - 3.1.33, 3.2.1 - 3.2.29, 3.3.1 - 3.3.45
2. Marginal cost, revenue, profit. Look at problems 3.4.3 - 3.4.15
3. Elasticity of demand. Look at problems 3.4.23 - 3.4.33
4. Find a differential. Look at problems 3.7.1 - 3.7.13
5. Find the first and second derivatives of the function. 2 parts. Look at problems 3.5.1 - 3.5.19
6. Error estimation using differentials. Look at problems 3.7.29 - 3.7.31
7. Application of higher order derivatives. Look at problems 3.5.29 - 3.5.35
8. Find dy/dx using implicit differentiation. Look at problems 3.6.9-3.6.29

Notes:

• None of the problems are directly from the text unless I just happened to pick numbers at random that correspond to those in the book. Most of the problems are like problems in the book with the values changed.