document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082587>Question 1082587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)= 2/3 x^3 - x^2 - 4x+2\r<BR>\n" );
document.write( "\n" );
document.write( "Find the local max and local min of f(×) if exist </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696674 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=696674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2/3 x^3 - x^2 - 4x+2 <BR>\n" );
document.write( "derivative is 2x^2-2x-4=0<BR>\n" );
document.write( "x^2-x-2=0<BR>\n" );
document.write( "(x-2)(x+1)=0<BR>\n" );
document.write( "x=2, -1; local points are (2, -14/3) which is a minimum and (-1, 13/3)<BR>\n" );
document.write( "Second derivative is 4x-2; when x=2, f''(2)=6, so x=2 is a minimum.<BR>\n" );
document.write( "when x=-1, f''(-1)=-6 maximum<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-10%2C10%2C%282x%5E3%2F3%29-x%5E2-4x%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-10%2C10%2C%282x%5E3%2F3%29-x%5E2-4x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );