1. 3.9 Derivatives of Exponential and Logarithmic Functions

2. Slide 3- 2 Quick Review

3. Slide 3- 3 Quick Review

4. Slide 3- 4 Quick Review Solutions

5. Slide 3- 5 Quick Review Solutions

6. Slide 3- 6 What you’ll learn about Derivative of e x Derivative of a x Derivative of ln x Derivative of log a x Power Rule for Arbitrary Real Powers … and why The relationship between exponential and logarithmic functions provides a powerful differentiation tool called logarithmic differentiation.

7. Slide 3- 7 Derivative of e x

8. Slide 3- 8 Example Derivative of e x

9. Slide 3- 9 Derivative of a x

10. Slide 3- 10 Derivative of ln x

11. Slide 3- 11 Example Derivative of ln x

12. Slide 3- 12 Derivative of log a x

13. Slide 3- 13 Rule 10 Power Rule For Arbitrary Real Powers

14. Slide 3- 14 Example Power Rule For Arbitrary Real Powers

15. Slide 3- 15 Logarithmic Differentiation Sometimes the properties of logarithms can be used to simplify the differentiation process, even if logarithms themselves must be introduced as a step in the process. The process of introducing logarithms before differentiating is called logarithmic differentiation.

16. Slide 3- 16 Example Logarithmic Differentiation