Math 122 - Chapter 4 Study Guide

1. Find a formula for the inverse of a function. Three parts. Look at problems 4.1.13-29
2. Find the first derivative. Eight parts. Includes logarithmic, exponential, and inverse trigonometric functions.
3. Find the derivative using logarithmic differentiation. Look at problems 4.4.35-46
4. The graph of a function or its derivative is shown. Determine whether the function is one to one. Three parts. Be sure you pay careful attention to whether it is f or f' that is graphed.
5. Find the limits. Eight parts. Indeterminate forms as well as those that are often mistaken for indeterminate forms. Look at problems 4.7.1-54.
6. Find the value of an inverse trigonometric function using your calculator. Two parts. Look at problems 4.5.17-20.
7. Draw a triangle that represents the given angle and then find the exact value of the other five trigonometric functions given the value one of the functions and the quadrant the angle lies in. Look at problems 4.5.3-5.
8. Given an exponential or logarithmic function, find the extrema and/or inflection points. Look at problem 4.4.51.

Notes:

• Where problems from the book are given, the actual problems on the exam may be similar or identical to indicated problems.
• You may place the formulas for the derivatives of the inverse trigonometric functions on notecards.