document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262860>Question 262860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have no idea how to begin solving this:\r<BR>\n" );
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document.write( "determine the slop of the function at the indicated domain value.<BR>\n" );
document.write( "        the prblem is: s(n)= log(n^2 - 4): n=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193689 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=193689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find slope we take a derivative.<BR>\n" );
document.write( "The derivative formula we need is<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28n%29+=+log%28b%2Cu%29 ALIGN=MIDDLE  ALT=\"s%28n%29+=+log%28b%2Cu%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "will become<BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28prime%29%28n%29+=+log%28b%2Ce%29%2A%28u%28prime%29%2Fu%29 ALIGN=MIDDLE  ALT=\"s%28prime%29%28n%29+=+log%28b%2Ce%29%2A%28u%28prime%29%2Fu%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "let U = n^2 - 4<BR>\n" );
document.write( "now<BR>\n" );
document.write( "dU = 2n<BR>\n" );
document.write( "so, from (ii) we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28prime%29%28n%29+=+log%2810%2Ce%29%2A%28n%5E2-4%29%2F2n%29 ALIGN=MIDDLE  ALT=\"s%28prime%29%28n%29+=+log%2810%2Ce%29%2A%28n%5E2-4%29%2F2n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next let n = 3, and we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28prime%29%283%29+=+log%2810%2Ce%29%2A%283%5E2-4%29%2F%286%29 ALIGN=MIDDLE  ALT=\"s%28prime%29%283%29+=+log%2810%2Ce%29%2A%283%5E2-4%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28prime%29%283%29+=+%285%2F6%29%2Alog%2810%2Ce%29 ALIGN=MIDDLE  ALT=\"s%28prime%29%283%29+=+%285%2F6%29%2Alog%2810%2Ce%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "I hope this is what you were looking for. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );