document.write( "Question 991364: Let \"+ln%28x-y%29+=+xy+\"\r
\n" ); document.write( "\n" ); document.write( "(a). Find \"+dy%2Fdx+\" at (1,0)
\n" ); document.write( "(b). Write the equation of the tangent line to the graph at (1,0)\r
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Algebra.Com's Answer #611251 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Differentiate implicitly,
\n" ); document.write( "\"%28dx-dy%29%2F%28x-y%29=xdy%2Bydx\"
\n" ); document.write( "\"dx-dy=%28x-y%29xdy%2B%28x-y%29ydx\"
\n" ); document.write( "\"-%28x-y%29xdy-dy=%28x-y%29ydx-dx\"
\n" ); document.write( "\"%28-%28x-y%29x-1%29dy=%28%28x-y%29y-1%29dx\"
\n" ); document.write( "\"dy%2Fdx=%28%28x-y%29y-1%29%2F%28-%28x-y%29x-1%29\"
\n" ); document.write( "So then,
\n" ); document.write( "\"dy%2Fdx=%28%281-0%290-1%29%2F%28-%281-0%291-1%29\"
\n" ); document.write( "\"dy%2Fdx=%28-1%29%2F%28-1-1%29\"
\n" ); document.write( "\"dy%2Fdx=-1%2F%28-2%29\"
\n" ); document.write( "\"dy%2Fdx=1%2F2\"
\n" ); document.write( "Use the point-slope form of the tangent line,
\n" ); document.write( "\"y-0=%281%2F2%29%28x-1%29\"
\n" ); document.write( "\"y=%281%2F2%29x-1%2F2\"
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