# Math 121 - Exam 3 Study Guide

1. Sketch the graph of the derivative of the function whose graph is shown. Two parts. Look at problems 3.2.25-26.
2. Find the derivative of functions that do not require the use of the chain rule. You need to know the power, product, and quotient rules. Six parts. You may need to multiply or divide before differentiating. Look at problems 3.3.1-20 and 3.5.1-18.
3. The values of x, f(x), f'(x), g(x), and g'(x) are given in a table. Use the rules of derivatives to find the derivatives as the specified point. Six parts. Look at problems 3.4.19-22; 3.6.5-6, 71
4. Find a higher order derivative. Look at problems 3.3.37-40
5. Find the differential dy. Look at problems 3.9.37-40.
6. Find and simplify f'(x) using the chain rule. Four parts. May involve trigonometric functions. Look at problems 3.6.7-40
7. Use a local linear approximation to estimate the value given. Look at problems 3.9.19-27.
8. Use implicit differentiation to find dy/dx. Look at problems 3.7.11-20
9. Related rate problem. Look at problems 3.8.10-47
10. Use the limit definition of a derivative to find the derivative. Look at problems 3.2.9-14 (only the part about finding the derivative) or 3.2.15-20.

## 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 Total 8 24 24 4 4 16 5 5 5 5 100