1. Derivatives of Exponential and Logarithmic Functions
Chapter 4
More Derivatives
Section 4.4
Derivatives of Exponential and Logarithmic Functions

2. Quick Review

3. Quick Review

4. Quick Review Solutions

5. Quick Review Solutions

6. What you’ll learn about
Derivative of ex
Derivative of ax
Derivative of ln x
Derivative of loga x
Extending the Power Rule to arbitrary real powers
Logarithmic differentiation
… and why
The relationship between exponential and logarithmic
functions provides a powerful differentiation tool called
logarithmic differentiation.

7. Derivative of ex

8. Example Derivative of ex

9. Derivative of ax

10. Derivative of ln x

11. Example Derivative of ln x

12. Derivative of logax

13. Rule 10 Power Rule For Arbitrary Real Powers

14. Example Power Rule For Arbitrary Real Powers

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. Example Logarithmic Differentiation

17. Quick Quiz Sections 4.3 – 4.4

18. Quick Quiz Sections 4.3 – 4.4

19. Quick Quiz Sections 4.3 – 4.4

20. Quick Quiz Sections 4.3 – 4.4

21. Quick Quiz Sections 4.3 – 4.4

22. Quick Quiz Sections 4.3 – 4.4

23. Chapter Test

24. Chapter Test

25. Chapter Test Solutions

26. Chapter Test Solutions

27. Chapter Test Solutions