document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107576>Question 1107576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation for the tangent line to the following curve,\r<BR>\n" );
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document.write( "h(x) = 19x &#8722; 5&#8201;ln&#8201;x \r<BR>\n" );
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document.write( "at the point where x = e. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722599 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=722599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation for the tangent line to the following curve,\r<BR>\n" );
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document.write( "h(x) = 19x - 5ln(x) \r<BR>\n" );
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document.write( "at the point where x = e.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "h(x) = 19x - 5ln(x)<BR>\n" );
document.write( "h'(x) = 19 - 5/x<BR>\n" );
document.write( "h'(e) = 19 - 5/e = slope of the tangent line.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "h(e) = 19e - 5<BR>\n" );
document.write( "tangent point = (e,19e-5)<BR>\n" );
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document.write( "y-y1 = m*(x-x1)<BR>\n" );
document.write( "y-19e+5 = (19-5/e)*(x-e) = 19x - 19e - 5x/e + 5<BR>\n" );
document.write( "y = 19x - 5x/e = x*(19 - 5/e) </SPAN>\n" );
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