document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982223>Question 982223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If y=-2x^6-32x^3-118, does y have a maximum or a minimum value? What is the value? What is the corresponding value of x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603077 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=603077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Best handled using derivatives.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=-12x%5E5-32%2A3x%5E2 ALIGN=MIDDLE  ALT=\"dy%2Fdx=-12x%5E5-32%2A3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x%5E2%28x%5E3%2B8%29 ALIGN=MIDDLE  ALT=\"-12x%5E2%28x%5E3%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Where is this expression, a rate of change for y with x, zero?  That would be where original equation y is either flat horizontally, OR a maximum or a minimum.\r<BR>\n" );
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document.write( "You will find that the value for x at which the first derivative is zero is x=-2.<BR>\n" );
document.write( "Just plug in NEGATIVE 2, in the sixth-degree equation, and find out this maximum value. </SPAN>\n" );
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