document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183465>Question 1183465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that y=x-√1+x^2<BR>\n" );
document.write( "Show that (1+x^2)(dy/dx)^2-y^2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813803 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To show:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bx%5E2%29%28dy%2Fdx%29%5E2-y%5E2=0 ALIGN=MIDDLE  ALT=\"%281%2Bx%5E2%29%28dy%2Fdx%29%5E2-y%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bx%5E2%29%28dy%2Fdx%29%5E2=y%5E2 ALIGN=MIDDLE  ALT=\"%281%2Bx%5E2%29%28dy%2Fdx%29%5E2=y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x-sqrt%281%2Bx%5E2%29 ALIGN=MIDDLE  ALT=\"y+=+x-sqrt%281%2Bx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx+=+1+-+x%2Fsqrt%281%2Bx%5E2%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx+=+1+-+x%2Fsqrt%281%2Bx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dy%2Fdx%29%5E2+=+%281+-+x%2Fsqrt%281%2Bx%5E2%29%29%5E2+=+1+-+%282x%29%2Fsqrt%281%2Bx%5E2%29+%2B+x%5E2%2F%281%2Bx%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281%2Bx%5E2%29%28dy%2Fdx%29%5E2%29+=+%281%2Bx%5E2%29%281+-+x%2Fsqrt%281%2Bx%5E2%29%29%5E2+=+%281%2Bx%5E2%29%28+1+-+%282x%29%2Fsqrt%281%2Bx%5E2%29+%2B+x%5E2%2F%281%2Bx%5E2%29%29%0D%0A%0D%0A=+1%2Bx%5E2+-2x%2Asqrt%281%2Bx%5E2%29+%2B+x%5E2+=+x%5E2+-2x%2Asqrt%281%2Bx%5E2%29+%2B%281+%2B+x%5E2%29+=+%28x-sqrt%281%2Bx%5E2%29%29%5E2+=+highlight%28y%5E2%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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