document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168018>Question 168018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)= f(x + delta(x)) - f(x)/ delta(x) how was this function derived? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123842 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=123842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)= f(x + delta(x)) - f(x)/ delta(x) how was this function derived?<BR>\n" );
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document.write( "Look at m(x) = [f(x+delta(x)) - f(x)] / delta(x)\r<BR>\n" );
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document.write( "This is a slope form where the numerator is a change in y and<BR>\n" );
document.write( "the denominator is a corresponding change in x.<BR>\n" );
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document.write( "It would be the slope of a line between the two points,<BR>\n" );
document.write( "(0,f(x)) and (delta(x),f(x+delta(x))<BR>\n" );
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document.write( "The form leads to a definition of \"the limit of a function\" as<BR>\n" );
document.write( "delta(x) approaches zero.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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