Section 12.2 Derivatives of Products and Quotients

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Presentation transcript:

Section 12.2 Derivatives of Products and Quotients

Product Rule Alternative Form:

Examples Find y’ for the function.

Quotient Rule Alternative Form:

Examples Find dy/dx for the function.

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.

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

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