document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56086>Question 56086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> .      Find the ABSOULUTE EXTREMA of f(x)= x ^4/3 on the interval<BR>\n" );
document.write( "> [-1,8].<BR>\n" );
document.write( ">         Use the EVT (Extreme Value Theorem)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38042 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=38042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the ABSOULUTE EXTREMA of f(x)= x ^4/3 on the interval<BR>\n" );
document.write( "> [-1,8].<BR>\n" );
document.write( "Find the max on that interval:<BR>\n" );
document.write( "f'(x)=(4/3)x^(1/3)<BR>\n" );
document.write( "Let (4/3)x^(1/3)=0, thenx=0<BR>\n" );
document.write( "So the function has a max at (0,0) on that interval.<BR>\n" );
document.write( "Now look at the end points.<BR>\n" );
document.write( "Evaluate f(x) at x=-1 and x=8<BR>\n" );
document.write( "f(-1)=(-1)^(4/3)=1<BR>\n" );
document.write( "f(8)=(8)^(4/3)=16<BR>\n" );
document.write( "The absolute Extrema on that closed interval is 16.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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