document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140604>Question 1140604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the derivative of y = r / sqrt root of r^2 + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761428 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=761428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the derivative of \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+r+%2F+sqrt%28r%5E2+%2B+1+%29 ALIGN=MIDDLE  ALT=\"y+=+r+%2F+sqrt%28r%5E2+%2B+1+%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=%28d%2Fdr%29+%28+r+%2F+sqrt%28r%5E2+%2B+1+%29%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdr%29+%28+r+%2F+sqrt%28r%5E2+%2B+1+%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=\r<BR>\n" );
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document.write( "Apply the Quotient Rule :\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Fg%29%27=+%28f%27%2Ag-g%27%2Af%29%2Fg%5E2+ ALIGN=MIDDLE  ALT=\"%28f%2Fg%29%27=+%28f%27%2Ag-g%27%2Af%29%2Fg%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=%28%28d%2Fdr%29%28r%29sqrt%28r%5E2%2B1%29-%28d%2Fdr%29%28sqrt%28r%5E2%2B1%29%29r%29%2F%28sqrt%28r%5E2%2B1%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >....since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdr%29%28r%29=1 ALIGN=MIDDLE  ALT=\"%28d%2Fdr%29%28r%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdr%29%28sqrt%28r%5E2%2B1%29%29+=r+%2F+sqrt%28r%5E2+%2B+1+%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdr%29%28sqrt%28r%5E2%2B1%29%29+=r+%2F+sqrt%28r%5E2+%2B+1+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we have\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28r%5E2%2B1%29-%28r+%2F+sqrt%28r%5E2+%2B+1+%29%29r%29%2F%28sqrt%28r%5E2%2B1%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( "Simplify : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28sqrt%28r%5E2%2B1%29-%28r%2Fsqrt%28r%5E2%2B1%29%29r%29%2F%28sqrt%28r%5E2%2B1%29%5E2%29 ALIGN=MIDDLE  ALT=\"+%28sqrt%28r%5E2%2B1%29-%28r%2Fsqrt%28r%5E2%2B1%29%29r%29%2F%28sqrt%28r%5E2%2B1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >: you will get\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28r%5E2%2B1%29sqrt%28r%5E2%2B1%29%29+ ALIGN=MIDDLE  ALT=\"1%2F%28%28r%5E2%2B1%29sqrt%28r%5E2%2B1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%28%28r%5E2%2B1%29%5E3%29+ ALIGN=MIDDLE  ALT=\"1%2Fsqrt%28%28r%5E2%2B1%29%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28r%5E2%2B1%29%5E%283%2F2%29+ ALIGN=MIDDLE  ALT=\"1%2F%28r%5E2%2B1%29%5E%283%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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