1. Section 12.2 Derivatives of Products and Quotients

2. Product Rule
Alternative Form:

3. Examples
Find y’ for the function.

4. Quotient Rule
Alternative Form:

5. Examples
Find dy/dx for the function.

6. Average Cost
If C(x) is a cost function, then the average cost function, is the function
The derivative of the average cost function is called the marginal average cost function.

7. Average Revenue / Profit
If R(x) is a revenue function, then the average revenue function is
If P(x) is a profit function, then the average profit function is
Recall Marginal function = derivative of that function

8. Example
The total profit (in tens of dollars) from selling x self-help books is:
Find the average profit from each sales level.
8 books
15 books
x books
Find the marginal average profit function