document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292976>Question 292976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you differentiate the problem (y=x^(1-x)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211502 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=211502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hint: Take the natural log of both sides to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%29=ln%28x%5E%281-x%29%29 ALIGN=MIDDLE  ALT=\"ln%28y%29=ln%28x%5E%281-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and pull down the exponent to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%29=%281-x%29%2Aln%28x%29 ALIGN=MIDDLE  ALT=\"ln%28y%29=%281-x%29%2Aln%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. From here, differentiate both sides with respect to 'x' and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx ALIGN=MIDDLE  ALT=\"dy%2Fdx\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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