1. The Product and Quotient rules

2. Product Rule
Used to find derivative when there are two functions being multiplied together.
Example
Can still expand the problem first and then use power rule, but not always the easiest way.

3. In order to make the product rule easier to remember let u and v represent the first and second factors of a product of 2 functions in x. If f(x)=uv, then

4. In other words
The derivative of a product of 2 functions is equal to the first times the derivative of the second plus the second times the derivative of the first.

5. Example: use the product rule to find the derivative

6. Use the product rule to find each derivative

7. Answers

8. Quotient Rule
Used when finding the derivative of 2 functions that are being divided
Example

9. Quotient rule with u and v representing functions in x

10. In other Words
The derivative of a quotient of 2 functions is equal to the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all over the square of the denominator.

11. Another Way to Remember Quotient Rule

12. Example: Use the quotient rule to find the derivative

14. Use the quotient rule to find each derivative

15. Answers