document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049842>Question 1049842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let ƒ(x)=e&#8722;(x+1)2. <BR>\n" );
document.write( " Draw a graph of the function on the interval [-3,3] and estimate from the graph whether ƒ&#8242;(&#8722;1) is positive or negative or zero, and whether ƒ&#8242;&#8242;(&#8722;1) is positive, negative or zero.<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 #665524 by </B><A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><B>advanced_Learner(501)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><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=advanced_Learner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=665524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f` is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-x%5E2-2x-1%29%2A%28-2x-2%29 ALIGN=MIDDLE  ALT=\"e%5E%28-x%5E2-2x-1%29%2A%28-2x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "from the graph<BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=advanced_Learner&illustration_name=derr.png\">.\r<BR>\n" );
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document.write( "f`(-1)=1<BR>\n" );
document.write( "f``(-1)=2\r<BR>\n" );
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document.write( "solution\r<BR>\n" );
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document.write( "first deriv=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-x%5E2-2x-1%29%2A%28-2x-2%29 ALIGN=MIDDLE  ALT=\"e%5E%28-x%5E2-2x-1%29%2A%28-2x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > at x=-1<BR>\n" );
document.write( "first deriv=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-1%2B2-1%29%2A%282-2%29 ALIGN=MIDDLE  ALT=\"e%5E%28-1%2B2-1%29%2A%282-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > at x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "first deriv=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%280%29%2A%280%29 ALIGN=MIDDLE  ALT=\"e%5E%280%29%2A%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > at x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "first derivative is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > at x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "second derivative=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-x%5E2-2x-1%29%2A%28-2x-2%29 ALIGN=MIDDLE  ALT=\"e%5E%28-x%5E2-2x-1%29%2A%28-2x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > at x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "second derivative=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-x%5E2-2-1%29%2A%28-2x-2%29%2A%28-2x-2%29%2Be%5E%28-x%5E2-2x-1%29%2A%28-2x-2%29%2A%28-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "xat x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "second deriv=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-1%2B2-1%29%2A%282-2%29%2A%282-2%29%2Be%5E%28-1%2B2-1%29%2A%282-2%29%2A%28-2%29 ALIGN=MIDDLE  ALT=\"e%5E%28-1%2B2-1%29%2A%282-2%29%2A%282-2%29%2Be%5E%28-1%2B2-1%29%2A%282-2%29%2A%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "second deriv=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%280%29%2A%280%29%2A%280%29%2Be%5E%280%29%2A%280%29%2A%28-2%29 ALIGN=MIDDLE  ALT=\"e%5E%280%29%2A%280%29%2A%280%29%2Be%5E%280%29%2A%280%29%2A%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "second deriv=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%280%29%2Be%5E%280%29 ALIGN=MIDDLE  ALT=\"e%5E%280%29%2Be%5E%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "second deriv is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > at x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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