document.write( "Question 825587: Find the slope of the tangent line:
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Algebra.Com's Answer #497413 by AnlytcPhil(1807) $\"\"$ $\"About$

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document.write( "Find the slope of the tangent line:\r\n" );
document.write( " (a)To the ellipse x^2+y^2/2=1 at the point (1/√2,1) \r\n" );
document.write( " (b)To the hyperbola x^2−y^2=1 at the point (√3,√2) \r\n" );
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document.write( "The slope of the tangent line at a point IS the derivative\r\n" );
document.write( "at that point.\r\n" );
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document.write( "Clear of fractions by multiplying through by 2\r\n" );
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document.write( "Take the derivative term-by-term implicitly:\r\n" );
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document.write( " is just 1 so\r\n" );
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document.write( "Subtract 4x from both sides:\r\n" );
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document.write( "Divide both sides by 2y\r\n" );
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document.write( "So we substitute the point (,1)\r\n" );
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document.write( "@(,1) \r\n" );
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document.write( "The other one is done the same way.\r\n" );
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document.write( "Edwin

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