document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170000>Question 170000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help.\r<BR>\n" );
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document.write( "Construct and simplify the difference quotient for f(x)= x^2-x.<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125468 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=125468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Construct and simplify the difference quotient for f(x)= x^2-x.\r<BR>\n" );
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document.write( "Difference quotient: [f(x+h)-f(x)]/h<BR>\n" );
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document.write( "f(x+h) = (x+h)^2 - (x+h) = x^2+2hx+h^2-x-h<BR>\n" );
document.write( "f(x) = x^2 - x<BR>\n" );
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document.write( "Subtracting you get:<BR>\n" );
document.write( "f(x+h)-f(x) = 2hx+h^2-h<BR>\n" );
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document.write( "Dividing by h you get: 2x-1+h<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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