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posted by  cntruji on 11/3/2009 3:58:50 PM  |  status: Closed  |  Earned Karma: 60

Relative Extrema Using Second Derivatives

Course Textbook Chapter Problem Needs by
Calculus Calculus and Its Applications (9th) by Bittinger, Ellenbogen Chapter 2 N/A 11/4/2009 at 8:00:00 AM
Question Details:
Graph the function f given by:


Step by step instructions help me best cause unfortunately, I'm very much struggling with these concepts. Thank you so much!
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posted by Marth on 11/3/2009 10:45:13 PM  |  status: Live
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The only critical values occur where : .

The only inflection points occur where : .  Since this is the same as the critical value, there are no relative extrema.

We know that the function is based on a cube root.  Therefore, we can graph it accurately:

The parent function is .


is shown in red, with the first derivative shown in green and the second derivative shown in magenta.


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