1. Derivatives and Integrals of Logarithmic and Exponential Functions
Chapter 5 review
Derivatives and Integrals of Logarithmic
and Exponential Functions

2. Derivative Formulas

3. 1) Find the derivative of

4. Use implicit differentiation
2) Find if
Use implicit differentiation
PRODUCT RULE

5. 3) Find the derivative of
4) Find the derivative if
Variable base and exponent!

6. 5) Find the derivative of
6) Find the derivative of the inverse if

7. Integral Formulas

8. 7) Evaluate

9. 8) Evaluate

10. 9) Evaluate

11. 10) Find the particular solution given and

12. 11) Find the derivative of using logarithmic differentiation

13. 12) A certain type of bacteria increase continuously at a rate proportional to the number present. If there are 500 present at a given time and 1000 present 2 hours later, how many hours (from the initial time) will it take for the number of bacteria to be 2500?

14. 13) A hard boiled egg cooked to 98°F is put in a pan under running water (18°F) to cool. After 5 minutes the egg’s temperature is found to be 38°F. How much longer will it take the egg to reach 20°F?

15. Growth rates and L’Hopital’s Rule
14) 15)

16. Assignment
Page  401 # 9-11, 15, 17-23, 31, 34, 39-43, 49, 51, 53, 55, 65-69, and 74
page 443 # 29, 30, and 33
page 445 # 2
page 592 # 76, 77,and 78