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Homework Help: Graphing a cubed root function

  1. Aug 2, 2012 #1
    1. Graph the following function



    2. [itex]\sqrt[3]{(x^{2}-1)^{2}}[/itex]



    3. I got the first derivative to be [itex]\frac{4x}{3\sqrt[3]{x^{2}-1}}[/itex] but am having trouble with the second derivative to get the concavity. So far I have [itex]\frac{4*3\sqrt[3]{x^{2}-1}-4x*3*\frac{1}{3\sqrt[3]{x^{2}-1}}}{9\sqrt[3]{(x^{2}-1)^{2}}}[/itex]
     
  2. jcsd
  3. Aug 2, 2012 #2

    SammyS

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    There appears to be an error in your second derivative.

    What's the derivative of [itex]\displaystyle 3\sqrt[3]{x^{2}-1}\ ?[/itex]
     
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