document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377490>Question 377490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi Can somebody please help me with this problem<BR>\n" );
document.write( "Confirm that the point P(1,1) lies on the curve with equation x^3-y^2+xy-x^2=0 and find the values of dy/dx and d^2y/dx^2 at that point.\r<BR>\n" );
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document.write( "Please explain steps if anyone is so kind as to help\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 #268266 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=268266\">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=x%5E3-y%5E2%2Bxy-x%5E2=0 ALIGN=MIDDLE  ALT=\"x%5E3-y%5E2%2Bxy-x%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E3-1%5E2%2B%281%29%281%29-1%5E2=0 ALIGN=MIDDLE  ALT=\"1%5E3-1%5E2%2B%281%29%281%29-1%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-1%2B1-1=0 ALIGN=MIDDLE  ALT=\"1-1%2B1-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B0=0 ALIGN=MIDDLE  ALT=\"0%2B0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "True, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is on the curve.<BR>\n" );
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document.write( "Use implicit differentiation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-y%5E2%2Bxy-x%5E2=0 ALIGN=MIDDLE  ALT=\"x%5E3-y%5E2%2Bxy-x%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-2y%28dy%2Fdx%29%2Bx%28dy%2Fdx%29%2By-2x=0 ALIGN=MIDDLE  ALT=\"3x%5E2-2y%28dy%2Fdx%29%2Bx%28dy%2Fdx%29%2By-2x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2y%2Bx%29%28dy%2Fdx%29=-3x%5E2%2B2x-y ALIGN=MIDDLE  ALT=\"%28-2y%2Bx%29%28dy%2Fdx%29=-3x%5E2%2B2x-y\"   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=%28-3x%5E2%2B2x-y%29%2F%28x-2y%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28-3x%5E2%2B2x-y%29%2F%28x-2y%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=y=1 ALIGN=MIDDLE  ALT=\"x=y=1\"   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=%28-3%2B2-1%29%2F%281-2%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28-3%2B2-1%29%2F%281-2%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=%28-2%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28-2%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28dy%2Fdx=2%29 ALIGN=MIDDLE  ALT=\"highlight%28dy%2Fdx=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "For the second derivative, use the quotient rule,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=p%2Fq ALIGN=MIDDLE  ALT=\"r=p%2Fq\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dr%2Fdx=%28q%2A%28dp%2Fdx%29-p%2A%28dq%2Fdx%29%29%2Fq%5E2 ALIGN=MIDDLE  ALT=\"dr%2Fdx=%28q%2A%28dp%2Fdx%29-p%2A%28dq%2Fdx%29%29%2Fq%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%28-3x%5E2%2B2x-y%29%2F%28x-2y%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28-3x%5E2%2B2x-y%29%2F%28x-2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28dy%2Fdx%29%2Fdx=%28%28x-2y%29%28-6x%2B2-dy%2Fdx%29-%28-3x%5E2%2B2x-y%29%281-2%2A%28dy%2Fdx%29%29%29%2F%28x-2y%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The value when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y=1 ALIGN=MIDDLE  ALT=\"x=y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=2 ALIGN=MIDDLE  ALT=\"dy%2Fdx=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28dy%2Fdx%29%2Fdx=%28%281-2%29%28-6%2B2-2%29-%28-3%2B2-1%29%281-2%2A%282%29%29%29%2F%281-2%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=d%28dy%2Fdx%29%2Fdx=%28%28-1%29%28-6%29-%28-2%29%28-3%29%29%2F%28-1%29%5E2 ALIGN=MIDDLE  ALT=\"d%28dy%2Fdx%29%2Fdx=%28%28-1%29%28-6%29-%28-2%29%28-3%29%29%2F%28-1%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=d%28dy%2Fdx%29%2Fdx=%286-6%29%2F1 ALIGN=MIDDLE  ALT=\"d%28dy%2Fdx%29%2Fdx=%286-6%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d%28dy%2Fdx%29%2Fdx=0%29 ALIGN=MIDDLE  ALT=\"highlight%28d%28dy%2Fdx%29%2Fdx=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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