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Math Help - Find the critical points of...

  1. #1
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    Find the critical points of...

    Find the critical points of...

    x^3+x^2+2\alpha{x}(y+1)+y^2+2y

    And classify them for |\alpha|> 1 and |\alpha| < 1, where \alpha \in \mathbb{R}
    Last edited by mr fantastic; September 15th 2009 at 02:01 AM. Reason: Included post title in main body of post
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  2. #2
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    Quote Originally Posted by Mozart View Post
    Find the critical points of...

    x^3+x^2+2\alpha{x}(y+1)+y^2+2y

    And classify them for |\alpha|> 1 and |\alpha| < 1, where \alpha \in \mathbb{R}
    Okay,
    1) What are "critical points"?

    2) If that definition involves derivatives, what are the derivatives of that function with respect to x and y?
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