1. Warm Up

2. Turn in chain rule HW

3. Implicit Differentiation – 4.2

4. Goal We will find the derivatives of functions that are not defined in a single variable.

5. Overview

6. How to do it Step 1: Differentiate both sides with respect to x. (include dx/dx whenever you differentiate x and dy/dx when you differentiate y) Step 2: Solve for dy/dx

7. Example

8. Example 2 : using product rule

9. Example

10. You try!

11. Example: quotient rule

12. Remember Remember dy/dx is the same as y’ so if it is easier for you to use y’ you can do that.

13. Example

14. Solution

15. Solution Continued

16. Done! You survived Implicit Differentiation!