document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052764>Question 1052764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the coordinates (x,y) for the highest point on the graph of the function f(x) = (e^6x)/[(e^9x) + 4]?\r<BR>\n" );
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document.write( "Work: I see that the problem is asking for the absolute max of the problem and to find it I need to take the first and second derivatives to find where the slope are zeros, but I don't know where to start taking the derivative. I have tried using the quotient rule to take the derivative but don't seem to get work that leads to the simplification of the problem. I am unsure if there are exponential/natural log rules that can apply to simplify the problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668087 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=668087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdx=%286e%5E%286x%29%28e%5E%289x%29%2B4%29-e%5E%286x%29%289e%5E%289x%29%29%29%2F%28e%5E%289x%29%2B4%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdx=%28e%5E%286x%29%286e%5E%289x%29%2B24-9e%5E%289x%29%29%29%2F%28e%5E%289x%29%2B4%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdx=%28e%5E%286x%29%28-3e%5E%289x%29%2B24%29%29%2F%28e%5E%289x%29%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"df%2Fdx=%28e%5E%286x%29%28-3e%5E%289x%29%2B24%29%29%2F%28e%5E%289x%29%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdx=-3%28e%5E%286x%29%28e%5E%289x%29-8%29%29%2F%28e%5E%289x%29%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"df%2Fdx=-3%28e%5E%286x%29%28e%5E%289x%29-8%29%29%2F%28e%5E%289x%29%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the derivative equals zero when,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%289x%29-8=0 ALIGN=MIDDLE  ALT=\"e%5E%289x%29-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x=ln%288%29 ALIGN=MIDDLE  ALT=\"9x=ln%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%288%29%2F9 ALIGN=MIDDLE  ALT=\"x=ln%288%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%282%5E3%29%2F9 ALIGN=MIDDLE  ALT=\"x=ln%282%5E3%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283ln%282%29%29%2F3%5E2 ALIGN=MIDDLE  ALT=\"x=%283ln%282%29%29%2F3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%282%29%2F3 ALIGN=MIDDLE  ALT=\"x=ln%282%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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