document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901758>Question 901758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the extrema and the points of inflection for the function.\r<BR>\n" );
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document.write( "f(x)=(2x+1)e^3x+1\r<BR>\n" );
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document.write( "I am not sure what I am doing here.  Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #546944 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=546944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=(2x+1)e^(3x+1)<BR>\n" );
document.write( "Critical Value: where 1st derivative = 0<BR>\n" );
document.write( "f' = e^(3x+1)(6x + 5)critical vale = -5/6,  extrema is (-5/6,f(-5/6) = (5/6, -.1488) (minimum value)<BR>\n" );
document.write( "Inflection Pt when f \"(x) = 0 <BR>\n" );
document.write( "f\" = 3(6x + 5)e^(3x+1)+ 6e^(3x+1)<BR>\n" );
document.write( "= e^(3x+1)(18x + 21) point of inflection is (-21/18, f(-21/18)) 0r(-7/6, -.1094)<BR>\n" );
document.write( "So recommend using a graphing Calculator to Verify </SPAN>\n" );
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