document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=862900>Question 862900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the point of inflexion(x,y), if f(x) = 2x^3-24x+x^2+5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520042 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=520042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the point of inflexion(x,y), if f(x) = 2x^3-24x+x^2+5<BR>\n" );
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document.write( "f(x) = 2x^3-24x+x^2+5<BR>\n" );
document.write( "f'(x) = 6x^2 + 2x - 24<BR>\n" );
document.write( "f''(x) = 12x + 2<BR>\n" );
document.write( "f''(x) = 0 --> x = -1/6<BR>\n" );
document.write( "f(-1/6) = -2/216 + 24/6 + 1/36 + 5 = (-2 + 864 + 6 + 1080)/216 = 1948/216<BR>\n" );
document.write( "Inflection at (-1/6,487/216) </SPAN>\n" );
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