document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129764>Question 1129764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the relative minimums and maximums of your coaster with a polynomial of x^5-4x^4-7x^3+14x^2-44x+120 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746357 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Relative maximums are the highest points of a section of a graph<BR>\n" );
document.write( "Relative minimums are the lowest points of a section of a graph\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5-4x%5E4-7x%5E3%2B14x%5E2-44x%2B120+ ALIGN=MIDDLE  ALT=\"x%5E5-4x%5E4-7x%5E3%2B14x%5E2-44x%2B120+\"   DISABLED_style= \"max-width:90%; height:auto;\" >has local maximum and minimum where first derivative is equal to zero:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and it is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+x%5E4+-+16+x%5E3+-+21+x%5E2+%2B+28+x+-+44=0 ALIGN=MIDDLE  ALT=\"5+x%5E4+-+16+x%5E3+-+21+x%5E2+%2B+28+x+-+44=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-1.89 ALIGN=MIDDLE  ALT=\"x=+-1.89\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4.03 ALIGN=MIDDLE  ALT=\"x=4.03\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-1.89 ALIGN=MIDDLE  ALT=\"x=+-1.89\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-1.89%29%5E5-4%28-1.89%29%5E4-7%28-1.89%29%5E3%2B14%28-1.89%29%5E2-44%28-1.89%29%2B120+ ALIGN=MIDDLE  ALT=\"y=%28-1.89%29%5E5-4%28-1.89%29%5E4-7%28-1.89%29%5E3%2B14%28-1.89%29%5E2-44%28-1.89%29%2B120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=225.27 ALIGN=MIDDLE  ALT=\"y=225.27\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Relative maximum: at point (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.89 ALIGN=MIDDLE  ALT=\"-1.89\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225.27 ALIGN=MIDDLE  ALT=\"225.27\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-1.89 ALIGN=MIDDLE  ALT=\"x=+-1.89\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%284.03%29%5E5-4%284.03%29%5E4-7%284.03%29%5E3%2B14%284.03%29%5E2-44%284.03%29%2B120+ ALIGN=MIDDLE  ALT=\"y=%284.03%29%5E5-4%284.03%29%5E4-7%284.03%29%5E3%2B14%284.03%29%5E2-44%284.03%29%2B120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-280.19 ALIGN=MIDDLE  ALT=\"y=-280.19\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Relative minimum: at point (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.03 ALIGN=MIDDLE  ALT=\"4.03\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-280.19 ALIGN=MIDDLE  ALT=\"-280.19\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );