1. The Product Rule Complete the warm-up on your notesheet

2. Objective  To use the product rule for differentiation.  TS: Making decisions after reflection and review

3. The Product Rule A number multiplied by a variable raised to a power. a variable raised to a power. Bad News: The Power Rule doesn’t work for a lot of derivatives. Good News: Right now you can find the derivative of functions like …

4. The Product Rule This function consists of two separate pieces multiplied together

5. The Product Rule What is the derivative of this function?

6. The Product Rule Does ? NO! Take each derivative

7. The Product Rule The derivative of a product is not equal to the product of the derivatives.

8. The Product Rule  The derivative of a product must by calculated using the product rule:

9. The Product Rule 1.Imagine that the function is actually broken into 2 pieces.

10. The Product Rule 2. Leave first piece alone and derive second piece.

11. The Product Rule 3. Add: Leave second piece alone and derive first piece.

12. The Product Rule This is the derivative!

13. The Product Rule Example A:

14. The Product Rule

15. The Product Rule Examle B

16. The Product Rule

17. The Product Rule Example C

18. Conclusion  Remember: The derivative of a product is the first times the derivative of the second plus the second times the derivative of the first.