document.write( "Question 650758: Find the slope of the curve 3x^2-y^2=12 if x=4. \n" ); document.write( "
Algebra.Com's Answer #407418 by Edwin McCravy(20065)\"\" \"About 
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document.write( "3x² - y² = 12\r\n" );
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document.write( "6x\"%28dx%29%2F%28dx%29\" - 2y\"%28dy%29%2F%28dx%29\" = 0\r\n" );
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document.write( "6x(1) - 2y\"%28dy%29%2F%28dx%29\" = 0\r\n" );
document.write( "6x - 2y\"%28dy%29%2F%28dx%29\" = 0\r\n" );
document.write( "    -2y\"%28dy%29%2F%28dx%29\" = -6x\r\n" );
document.write( "       \"%28dy%29%2F%28dx%29\" = \"%28-6x%29%2F%28-2y%29\"\r\n" );
document.write( "       \"%28dy%29%2F%28dx%29\" = \"3x%2Fy\"\r\n" );
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document.write( "To use that, we must find y when x = 4\r\n" );
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document.write( "  3x² - y² = 1\r\n" );
document.write( "3(4)² - y² = 1 \r\n" );
document.write( " 3*16 - y² = 1\r\n" );
document.write( "   48 - y² = 1\r\n" );
document.write( "       -y² = -47\r\n" );
document.write( "        y² = 47\r\n" );
document.write( "         y = \"%22%22+%2B-+sqrt%2847%29\"\r\n" );
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document.write( "       \"%28dy%29%2F%28dx%29\" = \"3x%2Fy\", substitute (4,\"%22%22+%2B-+sqrt%2847%29\")\r\n" );
document.write( "       \"%28dy%29%2F%28dx%29\" = \"3%284%29%2F%28%22%22+%2B-+sqrt%2847%29%29\"\r\n" );
document.write( "       \"%28dy%29%2F%28dx%29\" = \"%22%22+%2B-+12%2Fsqrt%2847%29\"\r\n" );
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document.write( "Edwin

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