document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083949>Question 1083949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the derivative of\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = 3x^2 - 5x + 6    is    6x-5 \r<BR>\n" );
document.write( "\n" );
document.write( "                <BR>\n" );
document.write( "*Hint* =     f(x+h) - f(x)) /(h)<BR>\n" );
document.write( "                       \r<BR>\n" );
document.write( "\n" );
document.write( "*Hint*=  set h = 0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698012 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=698012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3(x+h)2-5(x+h)+6-3x^2+5x-6 distributing the minus sign.<BR>\n" );
document.write( "3x^2+6xh+h^2-5x-5h+6-2x^2+5x-6<BR>\n" );
document.write( "3x^2 disappears, 5x disappears, 6 disappears<BR>\n" );
document.write( "=(6xh+h^2-5h)/h<BR>\n" );
document.write( "=(6x+h-5)<BR>\n" );
document.write( "as h approaches 0, the value approaches 6x-5. <BR>\n" );
document.write( "When h=0, the value is 6x-5. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );