document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200749>Question 200749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the points of inflection of the function<BR>\n" );
document.write( "f(x)=8x^2-2x^4<BR>\n" );
document.write( "find point with smaller x-value<BR>\n" );
document.write( "find point with larger x value<BR>\n" );
document.write( "can someone help please\r<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 #150980 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=150980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all the points of inflection of the function<BR>\n" );
document.write( "f(x)=8x^2-2x^4<BR>\n" );
document.write( "find point with smaller x-value<BR>\n" );
document.write( "find point with larger x value<BR>\n" );
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document.write( "f(x)=8x^2-2x^4<BR>\n" );
document.write( "The points of inflection are where the 2nd derivative = 0<BR>\n" );
document.write( "f'(x) = 16x - 8x^3<BR>\n" );
document.write( "f''(x) = 16 - 24x^2 = 0<BR>\n" );
document.write( "x^2 = 2/3<BR>\n" );
document.write( "Points of inflection at<BR>\n" );
document.write( "x = ± sqrt(6)/3<BR>\n" );
document.write( "--> (sqrt(6)/3,40/9) (larger x)<BR>\n" );
document.write( " and (-sqrt(6)/3,40/9) (smaller x)<BR>\n" );
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document.write( "email via the thank you note with any questions.<BR>\n" );
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document.write( "PS  The other tutor, Earlsdon, solved for the zeroes, not the points of inflection.  His graph was great, tho.\r<BR>\n" );
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