document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008996>Question 1008996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(t) = 4/(t^2). Use the defintion of the derivative to determine f'(-1)\r<BR>\n" );
document.write( "\n" );
document.write( "Let g(x) = 1/(x+1). Use the defintion of the derivative to determine g'(1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Please show how this is done\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624524 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=624524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4(T+2)^-1<BR>\n" );
document.write( "DERIVATIVE IS 4*(-1)(T+2)^(-2)<BR>\n" );
document.write( "NOTE: QUOTIENT RULE GIVES SAME RESULT.<BR>\n" );
document.write( "F'(-1)=-4/1^2=-4<BR>\n" );
document.write( "========<BR>\n" );
document.write( "1/(X+1)<BR>\n" );
document.write( "DERIVATIVE HAS DENOMINATOR OF (X+1)^2<BR>\n" );
document.write( "NUMERATOR IS -1<BR>\n" );
document.write( "-1/(X+1)^2<BR>\n" );
document.write( "G(-1)=UNDEFINED.<BR>\n" );
document.write( "=====<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%281%2F%28x%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%281%2F%28x%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );