## Math 122 - Chapter 7 Study Guide

1. Find a formula for the inverse of a function. Pay special attention to those where there are restrictions needed. Look at problems 7.1.13-21.
2. Find the derivative of the inverse of the function. Look at problems 7.1.45-48.
3. Find the derivative of functions involving the exponential and logarithmic functions. Four parts. Look at problems 7.3.1-30.
4. Find the derivative of the functions involving inverse trigonometric and hyperbolic functions. Four parts. Look at problems 7.6.23-30, 7.8.9-27.
5. Use logarithmic differentation to find the derivative. Look at problems 7.3.35-46.
6. 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.
7. Integrate. Indefinite integrals involving exponential, logarithmic, and hyperbolic trig functions. Three parts. Look at problems 7.3.63-72, 7.8.31-44.
8. Integrate. Definite integrals involving the inverse trigonometric, inverse hyperbolic trig, and exponential functions. Three parts. Look at problems 7.6.33-46 7.8.39-46.
9. Find the limit. Show work or justification. Three parts. Look at problems 7.7.3-36, 51-54.
10. Find the limit. Show work or justification. Three parts. Look at problems 7.7.3-36, 51-54.
11. Find the limit. Show work or justification. Two parts. Look at problems 7.7.3-36, 51-54.
12. Use the calculator to find the solution to the trigonometric equation involving secant, cosecant, or cotangent. Two parts. Look at problems 7.6.20-22.
13. Find the derivative of the definite integral where one of the limits is a function. Look at problems 7.5.15-22.
14. Find the extrema and inflection points. Look at problems 7.4.5-14.

### 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 from theorems 7.8.4, 7.8.5 and 7.8.6 for the inverse hyperbolic trigonometric functions.

### Points for each problem

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Tot 4 4 12 12 4 3 12 12 9 9 6 4 4 5 100