document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=565454>Question 565454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HOW DO YOU DETERMINE THE TURNING POINTS OF A GRAPH GIVEN THE FUNCTION: F(X)=2(X-3)(X^2+4)^3<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366020 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=366020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take the derivative of f with respect to x (I used the product rule):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f'(x) = 2(x^2+4)^3 + 12x(x-3)(x^2+4)^2\">\r<BR>\n" );
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document.write( "Set it equal to zero and find all real x that satisfy. Once you have done this, check to make sure that the sign of f'(x) actually changes.\r<BR>\n" );
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