document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120209>Question 1120209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slope of the stright line which is both tangent <BR>\n" );
document.write( "and normal to the curve 4x^3=27y^2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735883 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=735883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the slope of the stright line which is both tangent <BR>\n" );
document.write( "and normal to the curve 4x^3=27y^2<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "4x^3=27y^2<BR>\n" );
document.write( "12x^2dx = 54ydy<BR>\n" );
document.write( "dy/dx = 2x^2/9y<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Slope of tangent = 2x^2/9y<BR>\n" );
document.write( "Slope of normal = -9y/2x^2\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );