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Math Help - Finding the critical point

  1. #1
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    Finding the critical point

    I am stuck. The instructor said this equation had a infinite amount of critical points but l don't understand how he gets that answer.
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  2. #2
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    Quote Originally Posted by nyasha View Post
    I am stuck. The instructor said this equation had a infinite amount of critical points but l don't understand how he gets that answer.
    The answer is in the 2nd factor 3xy-2.

    The partial derivatives are also zero if this factor is zero.

    3xy-2=0\ \Rightarrow\ y=\frac{2}{3x}

    which has solutions for all x except zero.
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