# Math 121 - Exam 3 Study Guide

1. For the accompanying position versus time graph, find the average velocity over an interval and an instantaneous velocity at a specific time. Look at problem 3.1.1-6
2. Sketch the graph of the derivative of the function whose graph is shown. Look at problems 3.2.25-26.
3. Match the graphs of the functions with the graphs of their derivatives. Eight parts. Look at problem 3.2.23
4. 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. Five parts. You may need to multiply or divide before differentiating. Look at problems 3.3.1-20
5. 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. Seven parts. Look at problems 3.4.19-22; 3.6.5-6, 71
6. Find a higher order derivative. Look at problems 3.3.37-40
7. Find f'(x) for trigonometric functions. Three parts. Look at problems 3.4.1-18
8. Find f'(x) using the chain rule. Three parts. Look at problems 3.6.7-40
9. Find the differential dy. Look at problems 3.9.37-40.
10. Use a local linear approximation to estimate the value given. Look at problems 3.9.19-27.
11. Use implicit differentiation to find dy/dx. Look at problems 3.7.11-20
12. Related rate problem. Look at problems 3.8.10-47

## Notes

• Most problems are similar to those from the textbook.

## Point values per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 Total 6 5 8 20 14 4 12 12 4 5 5 5 100