document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183432>Question 183432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of the tangent to the curve y=((x^2)-1)/(3x) at x=2.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137718 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of the tangent to the curve y=(x^2-1)/3x at x=2. <BR>\n" );
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document.write( "y=(x^2-1)*x^-1/3 at x=2.<BR>\n" );
document.write( "dy/dx = (1/3)*(2x*x^-1 + (x^2-1)*(-1)*(x^-2))<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2A%282+-+%28x%5E2-1%29%2Fx%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29%2A%282+-+%28x%5E2-1%29%2Fx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "@ x = 2:<BR>\n" );
document.write( "= (1/3)*(2 - 3/4)<BR>\n" );
document.write( "= (1/3)*(5/4)<BR>\n" );
document.write( "= 5/12<BR>\n" );
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