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Section 12.2 Derivatives of Products and Quotients

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.

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Section 12.2 Derivatives of Products and Quotients

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  1. Section 12.2Derivatives 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 functionis If P(x) is a profit function, then the average profit functionis 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

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