document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054712>Question 1054712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given f(x)=5x-x^2/h find f(5+h)-f(5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669923 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=669923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=(5x-x^2)/h<BR>\n" );
document.write( "f(5+h)=5(5+h)-(5+h)^2<BR>\n" );
document.write( "=25+5h-25-10h-h^2<BR>\n" );
document.write( "subtract f(5), which is 25-25 or 0<BR>\n" );
document.write( "25+5h-25-10h-h^2-0=5h-10h-h^2<BR>\n" );
document.write( "divide that by h and have -5-h.<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "Using calculus, the derivative of this function is 5-2x.  Evaluated at 5, the result is 5-10=-5, and as h approaches 0, the value -5-h approaches -5.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );