document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015180>Question 1015180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am struggling with the difference of quotient problems. This one in particular f(x+h)-f(x) and this all over h\r<BR>\n" );
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document.write( "f(x)=-9x+5\r<BR>\n" );
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document.write( "Can someone please help me with this I have gone over the book and with it being the weekend I am not sure I can get an answer from my professor; its an online college algebra class. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631523 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The limit definition of the first derivative of a function is<BR>\n" );
document.write( "f'(x) = (f(x+h) - f(x)) / h as h ---> 0<BR>\n" );
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document.write( "your example function is f(x) = -9x +5<BR>\n" );
document.write( "we substitute x+h for x, then<BR>\n" );
document.write( "f'(x) = (-9(x+h)+5 - (-9x+5)) / h =<BR>\n" );
document.write( "(-9x -9h +5 +9x -5) / h =<BR>\n" );
document.write( "-9h / h = -9<BR>\n" );
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document.write( "therefore f'(x) = -9<BR>\n" );
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