document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005498>Question 1005498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "How do I show (just using the definition of the derivation, which is the difference quotient), that f is differentiable in R\{0} and that\r<BR>\n" );
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document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2Fx%5E3 ALIGN=MIDDLE  ALT=\"-2%2Fx%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "for x as an element of R?\r<BR>\n" );
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document.write( "Thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622116 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622116\">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=f%28x%29=1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29=1%2F%28x%2Bh%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29=1%2F%28x%2Bh%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29-f%28x%29=1%2F%28x%2Bh%29%5E2-1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29-f%28x%29=1%2F%28x%2Bh%29%5E2-1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29-f%28x%29=x%5E2%2F%28x%28x%2Bh%29%29%5E2-%28x%2Bh%29%5E2%2F%28x%28x%2Bh%29%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29-f%28x%29=%28x%5E2-%28x%2Bh%29%5E2%29%2F%28x%28x%2Bh%29%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29-f%28x%29=%28x%5E2-%28x%2Bh%29%5E2%29%2F%28x%28x%2Bh%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29-f%28x%29=%28x%5E2-%28x%5E2%2B2xh%2Bh%5E2%29%29%2Fx%28x%2Bh%29%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29-f%28x%29=%28x%5E2-%28x%5E2%2B2xh%2Bh%5E2%29%29%2Fx%28x%2Bh%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29-f%28x%29=%28-2xh-h%5E2%29%2F%28x%28x%2Bh%29%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29-f%28x%29=%28-2xh-h%5E2%29%2F%28x%28x%2Bh%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-2x-h%29%2F%28x%28x%2Bh%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-2x-h%29%2F%28x%28x%2Bh%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So now taking the limit as h goes to zero,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-2x-0%29%2F%28x%28x%2B0%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-2x-0%29%2F%28x%28x%2B0%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-2x%29%2Fx%5E4%29 ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-2x%29%2Fx%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2Fh=-2%2Fx%5E3 ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2Fh=-2%2Fx%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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