document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389720>Question 389720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x)=(e^x)ln x, then f'(e)=  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276266 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=276266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28e%5Ex%29%28ln+x%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28e%5Ex%29%28ln+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then by the Product Rule,\r<BR>\n" );
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document.write( "f'(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5Ex%29%28ln+x%29+%2B+%28e%5Ex%29%281%2Fx%29 ALIGN=MIDDLE  ALT=\"%28e%5Ex%29%28ln+x%29+%2B+%28e%5Ex%29%281%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (somehow the parsing system doesn't accept f'(x) so I put it outside)\r<BR>\n" );
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document.write( "Replacing x with e,\r<BR>\n" );
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document.write( "f'(e) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ee+%2B+%28e%5Ee%29%281%2Fe%29+=+e%5Ee+%2B+e%5E%28e-1%29 ALIGN=MIDDLE  ALT=\"e%5Ee+%2B+%28e%5Ee%29%281%2Fe%29+=+e%5Ee+%2B+e%5E%28e-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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