document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180822>Question 180822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the derivative.<BR>\n" );
document.write( "1. G(x) = xln(x + sqaure root of quantity 1 + x^2) - square root of quantity 1 + x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135563 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=135563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> g(x) = xln(x + sqrt(1 + x^2)) - sqrt(1 + x^2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let z=sqrt(1 + x^2) ----> z'=x/(sqrt(1+x^2))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "g(x) = xln(x + z) - z\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "g'(x) = (x*z')/(x + z) - ln(x+z) - z'\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "g'(x) = (x*(x/(sqrt(1+x^2))))/(x + sqrt(1 + x^2)) - ln(x+sqrt(1+x^2)) - x/(sqrt(1+x^2))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "g'(x) = ln(x+sqrt(1+x^2)) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );