document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844358>Question 844358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the tangent line at x= -3 for the function f(x)=1/x. Use limits.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508720 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=508720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the tangent line at x= -3 for the function f(x)=1/x. Use limits. <BR>\n" );
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document.write( "f(x)=1/x<BR>\n" );
document.write( "f'(x) = -1/x^2<BR>\n" );
document.write( "f'(-3) = -1/9 (the slope of the tangent at x = -3)<BR>\n" );
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document.write( "f(-3) = -1/3 --> the point (-3,-1/3)<BR>\n" );
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document.write( "y - y1 = m*(x - x1)<BR>\n" );
document.write( "y + 1/3 = (-1/9)*(x + 3)<BR>\n" );
document.write( "9y + 3 = -x - 3<BR>\n" );
document.write( "x + 9y = -6<BR>\n" );
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