## Math 121 - Chapter 3 Study Guide

- 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.
- Sketch the graph of the derivative of the function whose graph is shown.
- Match the graphs of the functions with the graphs of their derivatives. Five
parts.
- Find the differential dy.
- Use a local linear approximation to estimate the value given.
- Find the derivative of algebraic functions that do not require the use of the
chain rule. You need to know the power, product, and quotient rules. Four
parts.
- Find f'(x) for trigonometric functions. Three parts.
- Find f'(x) using the chain rule. Five parts.
- The values of
*f*, *f *', *g*, and *g*' are given in a table. Use the rules of derivatives
to find the derivatives as the specified point. Six parts.
- Use the limit definition of the derivative to find the derivative of the given
function. Also note that this is a problem where I will be grading work
more than the answer. Be sure you write the limit in every time until you
actually take the limit.
- Find a higher order derivative.
- Use implicit differentiation to find dy/dx.

### Notes:

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
Tot. |

Pts |
8 |
4 |
5 |
4 |
5 |
16 |
12 |
20 |
12 |
5 |
4 |
5 |
100 |