## Math 121 - Chapter 3 Study Guide

- Sketch a position and velocity versus time curve based on the description given. Look at
problem 3.1.12.
- 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.
- Match the graphs of the functions with the graphs of their derivatives. Five parts. Look at
problem 3.2.23.
- Use the limit definition of derivative to find dy/dx. Two parts. Look at problems 3.2.9-20.
- Find the derivative. Five parts. Look at problems 3.3.1-28*.
- Find f'(x) for trigonometric functions. Four parts. Look at problems 3.4.1-18*.
- Find f'(x) using the chain rule. Four parts. Look at problems 3.5.1-39*.
- Application problem involving differentials. Look at odd problems 3.6.45-59*.
- Find the indicated derivative. Two parts. Look at problems 3.3.41-44*, 3.4.35.
- Find the derivatives as the specified point. Five parts. Look at supplementary exercise 3.10.

### Notes:

- *'d problems are directly from the text.

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Total |

Pts |
6 |
8 |
10 |
8 |
20 |
16 |
12 |
4 |
6 |
10 |
100 |