document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031104>Question 1031104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculus Problem. <BR>\n" );
document.write( "Prove that F(x) = 4x^3+x has no relative max or min without graphing.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645822 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=645822\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Prove that F(x) = 4x^3+x has no relative max or min without graphing. <BR>\n" );
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document.write( "F'(x) = 12x^2+1<BR>\n" );
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document.write( "Solve: 12x^2+1 = 0<BR>\n" );
document.write( "12x^2 = -1<BR>\n" );
document.write( "x^2 = -1/12<BR>\n" );
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document.write( "Solutions for that are not Real Numbers.<BR>\n" );
document.write( "Therefore F(x) has no relative max or min.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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