what do you know about derivatives? ... i.e., what they can tell you about the behavior of a function.

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- Nov 11th 2008, 01:41 PM #1

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- Nov 11th 2008, 02:53 PM #2

- Nov 11th 2008, 02:58 PM #3
The absolute maximum and minimum will either be where the derivative is 0, or on the endpoints.

The endpoints are

and

The derivative is

(use the Quotient rule).

Set this equal to 0 and solve for x.

or

or .

Substitute these values back into f(x) to determine their corresponding y-values.

, .

So the absolute maximum is 15 which occurs at x = 3, and the absolute minumum is -12 and occurs at x = .

- Nov 11th 2008, 03:02 PM #4

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- Oct 2008
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- Nov 11th 2008, 03:06 PM #5

- Nov 11th 2008, 03:11 PM #6