document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059519>Question 1059519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the intervals on which f(x)= 2x^3 - 3x^2  is increasing.\r<BR>\n" );
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document.write( "find the intervals on which f(x)= 2x^3 - 3x^2  is concave down. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674576 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=674576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first derivative<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2-6x=0 ALIGN=MIDDLE  ALT=\"6x%5E2-6x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x=0 ALIGN=MIDDLE  ALT=\"x%5E2-x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-1%29=0 ALIGN=MIDDLE  ALT=\"x%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Know the basic shape of cubic polynomial or function!<BR>\n" );
document.write( "Maximum at x=0 and minimum and x=1.<BR>\n" );
document.write( "You can figure the intervals of the function increasing.\r<BR>\n" );
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document.write( "Second derivative<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x-6 ALIGN=MIDDLE  ALT=\"12x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x-6=0 ALIGN=MIDDLE  ALT=\"12x-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1=0 ALIGN=MIDDLE  ALT=\"2x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=1 ALIGN=MIDDLE  ALT=\"2x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F2 ALIGN=MIDDLE  ALT=\"x=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----------this is where you find the inflection point, and again, understanding the shape of cubic functions,  the interval on which f is concave downward is  (-infinity, 1/2 ). </SPAN>\n" );
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