document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183055>Question 183055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the point(s) where the tangent to the curve is horizontal for:<BR>\n" );
document.write( "y=2(x-29)(x+1)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137429 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the point(s) where the tangent to the curve is horizontal for:<BR>\n" );
document.write( "y=2(x-29)(x+1)<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Take the derivative to get:<BR>\n" );
document.write( "y' = 2[(x-29)*1 + (x+1)*1]\r<BR>\n" );
document.write( "\n" );
document.write( "y' = 2[2x-28)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Let y' = 0 and solve for x:<BR>\n" );
document.write( "2[2x-28]= 0<BR>\n" );
document.write( "x = 14<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "The slope is zero when x = 14<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "f(14) = 2(14-29)(14+1) = 2(-15)(15) = -450<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Ans: (14,-450)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );