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

Derivative Formulas

1) Find the derivative of

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

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

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

Integral Formulas

7) Evaluate

8) Evaluate

9) Evaluate

10) Find the particular solution given and

11) Find the derivative of using logarithmic differentiation

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?

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?

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

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