Math 121 - Chapter 3 Study Guide

1. Sketch a position and velocity versus time curve based on the description given. Look at problem 3.1.12.
2. For the accompanying position versus time graph, find the average velocity over an interval, the places where the instantaneous velocity is zero, the times at which the instantaneous velocity is a maximum or minimum, and the instantaneous velocity at a specific time. Look at problem 3.1.10.
3. Match the graphs of the functions with the graphs of their derivatives. Five parts. Look at problem 3.2.23.
4. Use the limit definition of derivative to find dy/dx. Two parts. Look at problems 3.2.9-20.
5. Find the derivative. Five parts. Look at problems 3.3.1-28*.
6. Find f'(x) for trigonometric functions. Four parts. Look at problems 3.4.1-18*.
7. Find f'(x) using the chain rule. Four parts. Look at problems 3.5.1-39*.
8. Application problem involving differentials. Look at odd problems 3.6.45-59*.
9. Find the indicated derivative. Two parts. Look at problems 3.3.41-44*, 3.4.35.
10. Find the derivatives as the specified point. Five parts. Look at supplementary exercise 3.10.

Notes:

• *'d problems are directly from the text.