document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237518>Question 237518</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to find the derivative of (1/x)<BR>\n" );
document.write( "I need to see how to get passed the step of putting (x+h) in and dividing everything by h.\r<BR>\n" );
document.write( "\n" );
document.write( "Any help is greatly apprieciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174649 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=174649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am trying to find the derivative of (1/x)<BR>\n" );
document.write( "I need to see how to get passed the step of putting (x+h) in and dividing everything by h. <BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "f(x+h) = 1/(x+h)<BR>\n" );
document.write( "f(x) = 1/x<BR>\n" );
document.write( "------<BR>\n" );
document.write( "f(x+h)-f(x)=[1/(x+h) - 1/x] = [x-(x+h)]/[x(x+h)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= [-h]/[x^2+hx]<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Now divide by \"h\" to get:\r<BR>\n" );
document.write( "\n" );
document.write( "= [-1]/[x^2+hx]\r<BR>\n" );
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document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );