Chap4_Sec3

Chap4_Sec3 - Increasing/ Decreasing TEST Example 1 (4.3)...

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Find where the function f ( x ) = 3 x 4 – 4 x 3 – 12 x 2 + 5 is increasing and where it is decreasing. f’ ( x ) = 12 x 3 - 12 x 2 - 24 x = 12 x ( x – 2)( x + 1) Example 1 (4.3) Increasing/ Decreasing TEST
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The graph of f confirms the information in the chart. Example 1 I/D TEST
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WHAT DOES f’ SAY ABOUT f ? Find the local minimum and maximum values of the function f in Example 1. Example 2 (4.3)
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WHAT DOES f’ SAY ABOUT f ? Find the local maximum and minimum values of the function g ( x ) = x + 2 sin x 0 x 2 π Example 3 (4.3)
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WHAT DOES f’ SAY ABOUT f ? As g is differentiable everywhere, the only critical numbers are 2 π /3 and 4 π /3. So, we analyze g in the following table. The graph of g supports our conclusion. Example 3
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Cyprian honeybees raised in an apiary. s How does the rate of population increase change over time? s When is this rate highest? s
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This note was uploaded on 05/23/2011 for the course MAC 2311 taught by Professor Noohi during the Fall '08 term at FSU.

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Chap4_Sec3 - Increasing/ Decreasing TEST Example 1 (4.3)...

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