document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155427>Question 1155427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the location and value of the absolute extreme values of f on the given interval, if they exist.<BR>\n" );
document.write( "f(x)=12x^2/3 - x on [0,1728]<BR>\n" );
document.write( "what is/are the absolute maximum/maxima of f on the given interval? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778479 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=778479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The derivative is <BR>\n" );
document.write( "12*(2/3)*x^(-1/3)-1 and set that equal to 0.<BR>\n" );
document.write( "8x^(-1/3)-1=0<BR>\n" );
document.write( "8/x^(1/3)=1<BR>\n" );
document.write( "x^(1/3)=8<BR>\n" );
document.write( "x=512<BR>\n" );
document.write( "at that point, y=12*64-512=256\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-200%2C1728%2C-80%2C300%2C12x%5E%282%2F3%29-x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-200%2C1728%2C-80%2C300%2C12x%5E%282%2F3%29-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );