## Math 122 - Chapters 4, 7, 8 Study Guide

1. The graph of the derivative of a function is shown. Determine whether the function is one to one. Three parts.
2. Find a formula for the inverse of a function. Three parts. Look at problems 4.1.13-29**
3. Find the first derivative. Ten parts. Includes logarithmic, exponential, inverse trig, hyperbolic trig, and inverse hyperbolic trig functions.**
4. Find the limits. Seven parts. Indeterminate forms as well as those that are often mistaken for indeterminate forms. Look at problems 4.7.3-54*.
5. Evaluate the integrals. Five parts. Includes reciprocal, exponential, inverse trig, hyperbolic, and inverse hyperbolic trig functions.**
6. Find the derivative using logarithmic differentiation. Look at problems 4.4.35-46*
7. Application problem using hyperbolic trig functions.

### Notes:

• *'d problems are directly from the text.
• **'d problems have some of the problems from the text
• You may place the formulas for the derivatives and integrals of the inverse trigonometric and inverse hyperbolic trigonometric functions on notecards.
 # 1 2 3 4 5 6 7 Total Pts 3 6 40 21 20 4 6 100