document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396187>Question 396187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THe derivate of tan^-1(lnx+(x^2+1)^1/2)\r<BR>\n" );
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document.write( "Cheers in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281246 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+tan%5E%28-1%29+%28ln+x+%2B+%28x%5E2+%2B+1%29%5E%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"y+=+tan%5E%28-1%29+%28ln+x+%2B+%28x%5E2+%2B+1%29%5E%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note that the derivative of arctan x is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%281%2Bx%5E2%29 ALIGN=MIDDLE  ALT=\"1%2F%281%2Bx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Using this,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx+=+%281%2F%28ln+x+%2B+%28x%5E2+%2B+1%29%5E%281%2F2%29%29%29+%281%2Fx+%2B+%28x%29%28x%5E2+%2B+1%29%5E%28-1%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > (note that we have to take the derivative of the inside due to the chain rule) </SPAN>\n" );
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