1. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. The Natural Logarithmic Function: Differentiation (Section 5-1)

2. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Copyright © Houghton Mifflin Company. All rights reserved. 5-2 Definition of e and Figure 5.5 Chart pg 325

3. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Copyright © Houghton Mifflin Company. All rights reserved. 5-3 Theorem 5.3 Derivative of the Natural Logarithmic Function Chart pg 326

4. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 1

5. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 2

6. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 3

7. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 4

8. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 5

9. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 6

10. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 7

11. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. HW #4 pg 329 – 330 (37-59 odd)

12. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 8

13. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 9

14. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Copyright © Houghton Mifflin Company. All rights reserved. 5-14 Theorem 5.4 Derivative Involving Absolute Value Chart pg 328

15. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 10

16. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find the derivative of the function. Example 11

17. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Find an equation of the tangent line to the graph of f at the given point. Example 12

18. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Use implicit differentiation to find dy/dx. Example 13

19. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Locate any relative extrema and inflection points. Example 14

20. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. Use logarithmic differentiation. Example 15

21. Essential Question: How do you use derivatives with natural logs? Students will write a summary describing techniques used for taking the derivative with a natural log. HW #5 pg 329 – 330 (63-71 odd, 75-79 odd, 83-87 odd, 93-97 odd)