document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026208>Question 1026208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x-coordinates of the local max and local min points of f(x)=x^2e^x+5<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 #641477 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2e%5Ex%2B5 ALIGN=MIDDLE  ALT=\"y+=+x%5E2e%5Ex%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> y' = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2x%29e%5Ex ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x%29e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> y\" = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B4x+%2B2%29e%5Ex ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B4x+%2B2%29e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Verify!!)\r<BR>\n" );
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document.write( "y' = 0 ==> x = 0, -2\r<BR>\n" );
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document.write( "Use the 2nd derivative test:\r<BR>\n" );
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document.write( "At x = 0:  y\" = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280%5E2+%2B4%2A0+%2B2%29e%5E0+=+2+%3E+0 ALIGN=MIDDLE  ALT=\"%280%5E2+%2B4%2A0+%2B2%29e%5E0+=+2+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> local min at x = 0.\r<BR>\n" );
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document.write( "At x = -2:  y\" = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%5E2+%2B4%2A%28-2%29+%2B2%29e%5E%28-2%29+=+-2%2Fe%5E2+%3C+0+ ALIGN=MIDDLE  ALT=\"%28%28-2%29%5E2+%2B4%2A%28-2%29+%2B2%29e%5E%28-2%29+=+-2%2Fe%5E2+%3C+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >==> local max at x = -2. </SPAN>\n" );
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