document.write( "Question 404115: given: u = √(xy)\r
\n" ); document.write( "\n" ); document.write( "solve: [(du/dx)/(du/dy)]
\n" ); document.write( "

Algebra.Com's Answer #285636 by richard1234(7193)\"\" \"About 
You can put this solution on YOUR website!
I'm not too familiar with multi-variable calculus, but I'll try my best...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We have:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"du%2Fdx+=+%281%2F2%29%281%2Fsqrt%28xy%29%29%28y%29\", applying the chain rule. Here, y is treated as a constant.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"du%2Fdy+=+%281%2F2%29%281%2Fsqrt%28xy%29%29%28x%29\" by the same logic. Therefore, \"%28du%2Fdx%29%2F%28du%2Fdy%29+=+y%2Fx\".
\n" ); document.write( "
\n" );