document.write( "Question 1061236: find dy/dx if e^(x/Y) + (x/y)=2. \n" ); document.write( "
Algebra.Com's Answer #676038 by Edwin McCravy(20056)\"\" \"About 
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document.write( "Let \"x%2Fy\"\"%22%22=%22%22\"\"z\"\r\n" );
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document.write( "Then \r\n" );
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document.write( "\"e%5Ez%2Aexpr%28dz%2Fdx%29%2B+dz%2Fdz\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "\"expr%28dz%2Fdx%29%28e%5Ez%2B1%29\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Since \"e%5Ez%2B1%3C%3E0\"\r\n" );
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document.write( "\"dz%2Fdx\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Since \"z\"\"%22%22=%22%22\"\"x%2Fy\"\r\n" );
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document.write( "\"dz%2Fdx\"\"%22%22=%22%22\"\"%28y%2A1-x%2Aexpr%28dy%2Fdx%29%29%2Fy%5E2\"\r\n" );
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document.write( "So since \"dz%2Fdx\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "\"%28y-x%2Aexpr%28dy%2Fdx%29%29%2Fy%5E2\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Multiply both sides by y²:\r\n" );
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document.write( "\"y-x%2Aexpr%28dy%2Fdx%29\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "\"-x%2Aexpr%28dy%2Fdx%29\"\"%22%22=%22%22\"\"-y\"\r\n" );
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document.write( "\"dy%2Fdx\"\"%22%22=%22%22\"\"%28-y%29%2F%28-x%29\"\r\n" );
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document.write( "\"dy%2Fdx\"\"%22%22=%22%22\"\"y%2Fx\"\r\n" );
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document.write( "Edwin
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