document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057802>Question 1057802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=(7/(x-4). Then according to the definition of derivative, f'(x)= the limit as t approaches x of BLANK 1.<BR>\n" );
document.write( "The expression inside the limit simplifies to a simple fraction with <BR>\n" );
document.write( "numerator= BLANK 2, and denominator= Blank 3.\r<BR>\n" );
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document.write( "Please find BLANK 1,2, and 3.\r<BR>\n" );
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document.write( "I am totally stuck on this one! :-( Could someone please help me?\r<BR>\n" );
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document.write( "Yours,<BR>\n" );
document.write( "Juicy\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672896 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=672896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The definition of the derivative is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdx=%28f%28x%2Bdx%29-f%28x%29%29%2Fdx ALIGN=MIDDLE  ALT=\"df%2Fdx=%28f%28x%2Bdx%29-f%28x%29%29%2Fdx\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the limit as dx goes to zero.<BR>\n" );
document.write( "So substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=x%2Bdx ALIGN=MIDDLE  ALT=\"t=x%2Bdx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdx=%28f%28t%29-f%28x%29%29%2Fdx ALIGN=MIDDLE  ALT=\"df%2Fdx=%28f%28t%29-f%28x%29%29%2Fdx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the numerator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29-f%28x%29=7%2F%28t-4%29-7%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"f%28t%29-f%28x%29=7%2F%28t-4%29-7%2F%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the denominator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dx ALIGN=MIDDLE  ALT=\"dx\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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