1. 10. Derivatives of Log Functions

2. Some reminders about log functions
They have a vertical asymptote
They have unique properties
Ln is log base e

3. Example 1 – solve the following equations

4. Example 2
Find dy/dx of y = ln x using implicit differentiation

5. Derivative of ln

6. Example 3
Find the derivative of each

7. Derivative of log

8. Example 4
Find the derivative of

9. Logarithmic Differentiation (LOG DIFF)
This technique involves taking the natural log of BOTH sides of an equation prior to differentiating. We can use this technique in 3 situations
We are differentiating an “ugly” expression with lots of factors in a product or a quotient
When we are differentiating a function of the form y = f(x)g(x)
When the instructions tell you to

10. Example 5 - Use LOG DIFF to find dy/dx