document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088751>Question 1088751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need some help with this: Find the derivative of:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28lnx%29%2F%28ln%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28lnx%29%2F%28ln%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703072 by </B><A HREF=/tutors/aboutme.mpl?userid=natolino_2017><B>natolino_2017(77)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=natolino_2017><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703072\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let f(x) = ln(x) and g(x) = ln(x+1)\r<BR>\n" );
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document.write( "f'(x) = 1/x and g'(x) = 1/(x+1)\r<BR>\n" );
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document.write( "using the quotient's formula:\r<BR>\n" );
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document.write( "(f(x)/(g(x))' = (f'(x)*g(x) - f(x)*g'(x))/(g(x))^2\r<BR>\n" );
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document.write( "              = (ln(x+1)/x -ln(x)/(x+1))/(ln^2(x+1))\r<BR>\n" );
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document.write( "              = ((x+1)(ln(x+1))-(xln(x))/((x)(x+1)(ln^2(x+1))\r<BR>\n" );
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document.write( "@natolino_\r<BR>\n" );
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document.write( " </SPAN>\n" );
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