1. Derivatives of Logarithmic Functions

2. Objectives
To find derivatives of natural logarithmic functions.

3. Derivatives of Logarithmic Functions
What is ?
Remember,
Derivative of an
exponential function.
Let,
Then,

4. Derivatives of Logarithmic Functions
The derivative of a natural logarithmic function of the form f (x) = ln u is the product of the reciprocal of its argument and the derivative of its argument.

5. Derivatives of Logarithmic Functions

6. Derivatives of Logarithmic Functions
A Sneaky Way

7. Derivatives of Logarithmic Functions

8. Derivatives of Logarithmic Functions

9. Derivatives of Logarithmic Functions

10. Derivatives of Logarithmic Functions

11. Derivatives of Logarithmic Functions

12. Derivatives of Logarithmic Functions

13. Derivatives of Logarithmic Functions