document.write( "Question 757545: Find dy/dx of the curve y^2=7+2xy \n" ); document.write( "

Algebra.Com's Answer #460884 by stanbon(75887) $\"\"$ $\"About$

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Find dy/dx of the curve
\n" ); document.write( "y^2=7+2xy
\n" ); document.write( "-------
\n" ); document.write( "2yy' = 0 + 2[xy' + y]
\n" ); document.write( "----
\n" ); document.write( "2yy' = 2xy' + 2y
\n" ); document.write( "----
\n" ); document.write( "yy' = xy' + 2y
\n" ); document.write( "(y-x)y' = 2y
\n" ); document.write( "---
\n" ); document.write( "y' = (2y)/(y-x)
\n" ); document.write( "======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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