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Math Help - Dividing by powers

  1. #1
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    Dividing by powers

    A simple question that has me tearing my hair out - how exactly does the dU/dX / dUdy given simplify to y/2x?



    I have a feeling he makes a mistake in his differentiation but I still dont get how the simplification works!
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  2. #2
    Senior Member
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    Nov 2009
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    Simple error

    The first equation on the 2nd line, left should read:

    <br />
\frac {\partial U} {\partial x} = \frac {1}{3} x ^ { -2/3} y ^ {2/3}<br />

    and the result follows.
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