document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=833563>Question 833563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Currently in Business Calculus and I have my first test coming up. I'm a little lost with differentiation.\r<BR>\n" );
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document.write( "Differentiate.<BR>\n" );
document.write( "1) y=(x^3)/<BR>\n" );
document.write( "     (x-1)\r<BR>\n" );
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document.write( "I would like to know the steps to solve it. So that I may grasp the concept of differentiating equations. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502713 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=502713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Differential of a rational function:<BR>\n" );
document.write( "H(x) = f(x)/g(x)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "H'(x) = [g(x)*f'(x) - f(x)*g'(x)]/[g(x)]^2<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Your Problem:\r<BR>\n" );
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document.write( "Differentiate.<BR>\n" );
document.write( "1) y=(x^3)/(x-1) <BR>\n" );
document.write( "----<BR>\n" );
document.write( "y'(x) = [(x-1)*3x^2 - x^3(1)]/(x-1)^2<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "= [3x^3-3x^2-x^3]/(x^2-2x+1)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= [2x^3-3x^2]/[x^2-2x+1]<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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