document.write( "Question 984374: y= x-2/x^2 find dy/dx \n" ); document.write( "

Algebra.Com's Answer #605172 by Boreal(15235) $\"\"$ $\"About$

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I will assume (x-2)/x^2\r
\n" ); document.write( "\n" ); document.write( "denominator is x^4\r
\n" ); document.write( "\n" ); document.write( "numerator is vdu-udv=x^2(x)-(x-2)(2x)
\n" ); document.write( "=(x^3-2x^2+4x)/x^4= (x^2-2x+4)/x^3. If this is set =0, complex roots, so no max or min.\r
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\n" ); document.write( "\n" ); document.write( "If I assume x-(2/x^2)
\n" ); document.write( "dy/dx= 1+4x^(-3)\r
\n" ); document.write( "\n" ); document.write( "If this is set equal to zero,
\n" ); document.write( "4x^(-3)=-1; x^(-3)=(-1/4), x=-1/4^(1/3), or about -0.63=x\r
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