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  3. 1. what is a critical number of a function f ? wha

1. What is a critical number of a function f ? What is the connection between...

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Basic Math

1. What is a critical number of a function f ? What is theconnection between critical numbers and relative extremevalues?

2. What are inflection points? How do you find them?

3. What does the sign of the derivative, f ', tell us about thefunction? What does the sign of the 2nd derivative, f ", tell usabout the function?

4. What does it mean to say that a function is concave upward?Concave downward?

5. What does the Extreme Value Theorem say? Explain how to findthe absolute extrema of a continuous function on a closedinterval.

6. Explain how to use the 2nd derivative to find therelative maxima and relative minima of a function.

7. What is the meaning of ?y/?x? What is its geometricinterpretation? What is the meaning of dy/dx? What is its geometricinterpretation?

8. For which functions is dy/dx equal to ?y/?x?

9. When is dy about equal to ?y?

10. What is marginal cost? If C(x) is a cost function, how wouldwe find the marginal cost when x = 50? What does it represent?

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