## Math 122 - Chapter 7 Study Guide

- 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.
- Find the derivative of the inverse of the function. Look at problems
7.1.45-48.
- Find the derivative of functions involving the exponential and
logarithmic functions. Four parts. Look at problems 7.3.1-30.
- 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.
- Use logarithmic differentation to find the derivative. Look at problems
7.3.35-46.
- 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.
- Integrate. Indefinite integrals involving exponential, logarithmic, and
hyperbolic trig functions. Three parts. Look at problems 7.3.63-72,
7.8.31-44.
- 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.
- Find the limit. Show work or justification. Three parts. Look at
problems 7.7.3-36, 51-54.
- Find the limit. Show work or justification. Three parts. Look at
problems 7.7.3-36, 51-54.
- Find the limit. Show work or justification. Two parts. Look at problems
7.7.3-36, 51-54.
- 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.
- Find the derivative of the definite integral where one of the limits is
a function. Look at problems 7.5.15-22.
- 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 |