document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375478>Question 375478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello Everyone<BR>\n" );
document.write( "  Having Trouble with this.\r<BR>\n" );
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document.write( "Evaluate: <BR>\n" );
document.write( "dy=dx at x = 0 where<BR>\n" );
document.write( "(i) y = (x^2 - 1)/(x^2 + 2x + 1)\r<BR>\n" );
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document.write( "(ii) y = (e^x + 1)/(1 + e^-x)\r<BR>\n" );
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document.write( "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 #267018 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=267018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28x%5E2+-+1%29%2F%28x%5E2+%2B+2x+%2B+1%29+ ALIGN=MIDDLE  ALT=\"+y+=+%28x%5E2+-+1%29%2F%28x%5E2+%2B+2x+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%5E2-1%29%2F%28x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"y=%28x%5E2-1%29%2F%28x%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quotient rule,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+dy%2Fdx+=+%28%28x%2B1%29%5E2%282x%29-%28x%5E2-1%29%282%28x%2B1%29%29%29%2F%28x%2B1%29%5E4 ALIGN=MIDDLE  ALT=\"+dy%2Fdx+=+%28%28x%2B1%29%5E2%282x%29-%28x%5E2-1%29%282%28x%2B1%29%29%29%2F%28x%2B1%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%282x%28x%2B1%29-2%28x%5E2-1%29%29%2F%28x%2B1%29%5E3 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%282x%28x%2B1%29-2%28x%5E2-1%29%29%2F%28x%2B1%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%282x%5E2%2B2x-2x%5E2%2B2%29%29%2F%28x%2B1%29%5E3 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%282x%5E2%2B2x-2x%5E2%2B2%29%29%2F%28x%2B1%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%282%28x%2B1%29%29%2F%28x%2B1%29%5E3 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%282%28x%2B1%29%29%2F%28x%2B1%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=2%2F%28x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"dy%2Fdx=2%2F%28x%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=2%2F%280%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"dy%2Fdx=2%2F%280%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28dy%2Fdx=2%29 ALIGN=MIDDLE  ALT=\"highlight%28dy%2Fdx=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28e%5Ex+%2B+1%29%2F%281+%2B+e%5E%28-x%29%29 ALIGN=MIDDLE  ALT=\"y=%28e%5Ex+%2B+1%29%2F%281+%2B+e%5E%28-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%28%281%2Be%5E%28-x%29%29%28e%5E%28x%29%29-%28e%5Ex%2B1%29%28-e%5E%28-x%29%29%29%2F%281%2Be%5E%28-x%29%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%28%28e%5E%28x%29%2B1%2B1%2Be%5E%28-x%29%29%29%2F%281%2Be%5E%28-x%29%29%5E2 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28%28e%5E%28x%29%2B1%2B1%2Be%5E%28-x%29%29%29%2F%281%2Be%5E%28-x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%28%28e%5E%28x%29%2Be%5E%28-x%29%2B2%29%29%2F%281%2Be%5E%28-x%29%29%5E2 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28%28e%5E%28x%29%2Be%5E%28-x%29%2B2%29%29%2F%281%2Be%5E%28-x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%28%28e%5E%28x%29%2Be%5E%28-x%29%2B2%29%29%2F%281%2Be%5E%28-x%29%29%5E2 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28%28e%5E%28x%29%2Be%5E%28-x%29%2B2%29%29%2F%281%2Be%5E%28-x%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%28%28e%5E%28x%29%2Be%5E%28-x%29%2B2%29%29%2F%28e%5E%28-2x%29%2B2e%5E%28-x%29%2B1%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28%28e%5E%28x%29%2Be%5E%28-x%29%2B2%29%29%2F%28e%5E%28-2x%29%2B2e%5E%28-x%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=e%5E%28x%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=e%5E%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=e%5E%280%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=e%5E%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28dy%2Fdx=1%29 ALIGN=MIDDLE  ALT=\"highlight%28dy%2Fdx=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );