document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560124>Question 560124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the Tangent line of the curve.<BR>\n" );
document.write( "xy+4x-3y=0 at the point p(1,2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363684 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=363684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the Tangent line of the curve.<BR>\n" );
document.write( "xy+4x-3y=0 at the point p(1,2).<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "xy+4x-3y=0<BR>\n" );
document.write( "Differentiate implicitly<BR>\n" );
document.write( "xdy + ydx + 4dx - 3dy = 0<BR>\n" );
document.write( "dy*(x-3) + dx*(y+4) = 0<BR>\n" );
document.write( "dy/dx = -(y+4)/(x-3)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "@ (1,2) y' = -6/(-2)<BR>\n" );
document.write( "= 3<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "You could solve for y and get the same result.<BR>\n" );
document.write( "y = 4x/(3-x)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );