document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=943836>Question 943836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you help me calculate the difference quotient(simplify when possible):<BR>\n" );
document.write( "h(x)=1/x <BR>\n" );
document.write( "i am really stuck </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575462 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=575462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> calculate the difference quotient(simplify when possible):<BR>\n" );
document.write( "h(x+h) = 1/(x+h)<BR>\n" );
document.write( "h(x)=1/x<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "h(x+h)-h(x) = 1/(x+h)-1/x<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= [x-(x+h)]/[x(x+h)]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= -h/[x^2+xh]<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Divide by h to get:<BR>\n" );
document.write( "= -1/[x^2+xh]<BR>\n" );
document.write( "=======<BR>\n" );
document.write( "Take the limit as h approaches 0 to get::<BR>\n" );
document.write( "= -1/x^2<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );