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

10. Derivative of ln x

11. Example Derivative of ln x

13. YOU MUST KNOW ALL OF THESE RULES!!!

14. Derivative of logax
Example
Note: Log has an
Understood base
of 10

16. Example Logarithmic Differentiation

19. More example…

20. Derivative of ax

23. 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.

24. Checkpoint

25. Checkpoint

26. Checkpoint

27. Checkpoint

28. Checkpoint

29. Checkpoint

30. Unit Review

31. Unit Review

32. Unit Review

33. Unit Review

34. Unit Review