document.write( "Question 384079: implicit differeniation to find y' and evaluate y' at the indicated point .\r
\n" ); document.write( "\n" ); document.write( "1) xIn y + 2y= 2x^3 : (1,1)\r
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\n" ); document.write( "\n" ); document.write( "2) x^3 - tx^2 - 4= 0 :(-3,-2) \n" ); document.write( "

Algebra.Com's Answer #271874 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%2Aln%28y%29+%2B+2y=+2x%5E3\"$
\n" ); document.write( " $\"x%2A%28dy%2Fy%29%2Bln%28y%29%2Adx%2B2dy=6x%5E2%2Adx\"$
\n" ); document.write( " $\"%28x%2Fy%2B2%29dy=%286x%5E2-ln%28y%29%29dx\"$
\n" ); document.write( " $\"dy%2Fdx=%286x%5E2-ln%28y%29%29%2F%28x%2Fy%2B2%29\"$
\n" ); document.write( "When $\"x=y=1\"$
\n" ); document.write( " $\"dy%2Fdx=%286-ln%281%29%29%2F%281%2F1%2B2%29\"$
\n" ); document.write( " $\"dy%2Fdx=%286%29%2F%283%29\"$
\n" ); document.write( " $\"dy%2Fdx=2\"$
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\n" ); document.write( " $\"+x%5E3+-tx%5E2+-+4=+0+\"$
\n" ); document.write( " $\"3x%5E2%2Adx-%28t%282x%2Adx%29%2Bx%5E2%2Adt%29=0\"$
\n" ); document.write( " $\"3x%5E2%2Adx-2xt%2Adx-x%5E2%2Adt=0\"$
\n" ); document.write( " $\"%283x%5E2-2xt%29%2Adx=x%5E2%2Adt\"$
\n" ); document.write( " $\"dx%2Fdt=x%5E2%2F%283x%5E2-2xt%29\"$
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\n" ); document.write( "If $\"t=-3\"$ and $\"x=-2\"$ , then,
\n" ); document.write( " $\"dx%2Fdt=4%2F%2812-12%29\"$
\n" ); document.write( " $\"dx%2Fdt\"$ is undefined.
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\n" ); document.write( "If $\"t=-2\"$ and $\"x=-3\"$ , then,
\n" ); document.write( " $\"dx%2Fdt=9%2F%2827-12%29\"$
\n" ); document.write( " $\"dx%2Fdt=9%2F15\"$
\n" ); document.write( " $\"dx%2Fdt=3%2F5\"$
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