document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767650>Question 767650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find tangent and normal line equation for f(x) at x=2. <BR>\n" );
document.write( "F(x) = 3x^2 +2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467735 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=467735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find tangent and normal line equation for f(x) at x=2. <BR>\n" );
document.write( "F(x) = 3x^2 +2<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "F'(x) = 6x<BR>\n" );
document.write( "x = 2 --> the point (2,14)<BR>\n" );
document.write( "m = 6x = 12<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "tangent line is slope = 12 thru the point (2,14)<BR>\n" );
document.write( "y = 12x - 10<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Normal is slope = -1/12 thru (2,14)<BR>\n" );
document.write( "y = -x/12 + 85/6<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );