1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    There appears to be an error in your second derivative.

    What's the derivative of [itex]\displaystyle 3\sqrt[3]{x^{2}-1}\ ?[/itex]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook