# Math 122: Chapter 7 Study Guide

1. Find a formula for the derivative of the inverse of a function. Look at problems 7.3.7-10.
2. Find the derivative of an integral using the second part of the fundmental theorem of calculus. Look at problems 7.6.15-22.
3. Use logarithmic differentiation to find the derivative. Look at problems 7.2.31-34
4. Find the limit. Two parts. Look at problems 7.5.5-34.
5. Find the limit. Six parts. Look at problems 7.5.5-34. This is the same as #4, it's just split across two pages to give you more room to work the problems.
6. Find the derivatives. Eight parts. These could include logarithmic, exponential, inverse trigonometric, hyperbolic trigonometric, or inverse hyperbolic trigonometric functions.
7. Integrate. Eight parts. Give exact answers when there are definite integrals. These could include logarithmic, exponential, inverse trigonometric, hyperbolic trigonometric, or inverse hyperbolic trigonometric functions.

## Notes

• Show work!
• You may create notecards that have the following formulas on them.
• Integrals resulting in an inverse trigonometric function (page 494)
• Derivatives of the inverse hyperbolic trigonometric functions (page 505)
• Integrals resulting in an inverse hyperbolic trigonometric function (page 506). Do not use the equivalent logarithmic form.
• You are expected to know the derivatives of the inverse trigonometric functions.
• You are expected to know the derivatives of the trigonometric and hyperbolic trigonometric functions.

## Points per problem

 # Pts 1 2 3 4 5 6 7 Total 3 3 6 6 18 32 32 100