document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169878>Question 1169878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> let f(x)=-2x^3+3x^2+36x over the closed interval (-3,5) what is the smallest critical point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #794718 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=794718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f'(x)=-6x^2+6x+36<BR>\n" );
document.write( "set that equal to 0<BR>\n" );
document.write( "6x^2-6x-36=0, multiplying by -1<BR>\n" );
document.write( "x^2-x-6=0 dividing by 6 both sides<BR>\n" );
document.write( "(x-3)(x+2)=0<BR>\n" );
document.write( "x=-2, 3<BR>\n" );
document.write( "-2\r<BR>\n" );
document.write( "\n" );
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document.write( "</TD></TR></TABLE>\n" );