document.write( "Question 995895: If \"xy%2B3x%2By%5E2=21\" defines a differentiable implicit function y=f(x), find \"dy%2Fdx\" in terms of x and y. \n" ); document.write( "
Algebra.Com's Answer #614539 by Edwin McCravy(20056)\"\" \"About 
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If \"xy%2B3x%2By%5E2=21\" defines a differentiable implicit function y=f(x), find \"dy%2Fdx\" in terms of x and y.
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document.write( "\"xy%2B3x%2By%5E2=21\"\r\n" );
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document.write( "Differentiate each term, using differentiation formulas\r\n" );
document.write( "you have studied:\r\n" );
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document.write( "Simplifying\r\n" );
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document.write( "\"x%2Aexpr%28%28dy%29%2F%28dx%29%29%2By%2B3%2B2y%2Aexpr%28%28dy%29%2F%28dx%29%29=0\"\r\n" );
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document.write( "Isolate terms in \"%28dy%29%2F%28dx%29\" on the left\r\n" );
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document.write( "\"x%2Aexpr%28%28dy%29%2F%28dx%29%29%2B2y%2Aexpr%28%28dy%29%2F%28dx%29%29=-y-3\"\r\n" );
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document.write( "Factor out \"%28dy%29%2F%28dx%29\" on the left:\r\n" );
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document.write( "\"expr%28%28dy%29%2F%28dx%29%29%28x%2B2y%29=-y-3\"\r\n" );
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document.write( "Divide both sides by (x+2y)\r\n" );
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document.write( "\"expr%28%28dy%29%2F%28dx%29%29=%28-y-3%29%2F%28x%2B2y%29\"\r\n" );
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document.write( "Edwin

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