document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193035>Question 1193035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x) = (-100e^-0.25x) - 50x\r<BR>\n" );
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document.write( "(b) Determine the location of all critical points and determine their nature for the function  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825047 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> graph it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C5%2C-500%2C10%2C%28-100e%5E%28-0.25x%29-50x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C5%2C-500%2C10%2C%28-100e%5E%28-0.25x%29-50x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=0.25*e^(-0.25x)-50<BR>\n" );
document.write( "set equal to 0.<BR>\n" );
document.write( "50=25e^(-0.25x)<BR>\n" );
document.write( "2=e^(-0.25x)<BR>\n" );
document.write( "ln 2=-0.25x<BR>\n" );
document.write( "0.693=-0.25x<BR>\n" );
document.write( "x=-2.77<BR>\n" );
document.write( "f(x)=-61.37<BR>\n" );
document.write( "second derivative is -6.25e^(-0.25x)<BR>\n" );
document.write( "where x=-2.77 the second derivative is negative. This is a maximum.   <BR>\n" );
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