document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158618>Question 1158618</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) = 4x^3/4 −x on [0,256]<BR>\n" );
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document.write( "(0, 0) is one possible extreme value<BR>\n" );
document.write( "at x=256, 4*(4^4)^(3/4)-x or 4*4^3-256 which is also 0.<BR>\n" );
document.write( "so the two ends of the graph (0, 0) and (256, 0) give the lowest values of the function.\r<BR>\n" );
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document.write( "the greatest value comes in between and is a maximum<BR>\n" );
document.write( "the derivative is (3/4)*4(x^(-1/4))-1 and set equal to 0 and move the -1<BR>\n" );
document.write( "3x^(-1/4)=1<BR>\n" );
document.write( "3=x^(1/4)<BR>\n" );
document.write( "x=81, raising both sides to the fourth power<BR>\n" );
document.write( "at that value, f(x)=108-81=27<BR>\n" );
document.write( "(81, 27) </SPAN>\n" );
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