document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300642>Question 300642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me answer this.\r<BR>\n" );
document.write( "\n" );
document.write( "The problem asks \"Find the difference quotient and simplify your answer.\"\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)= x^3 + x, f(x+h)-f(x)/h, h=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215677 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=215677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Find the difference quotient and simplify your answer.\" <BR>\n" );
document.write( "f(x)= x^3 + x, [f(x+h)-f(x)]/h<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "f(x+h)= (x+h)^3+x<BR>\n" );
document.write( "f(x+h)= x^3+3x^2h+3xh^2+h^3 + (x+h)<BR>\n" );
document.write( "f(x)  = x^3 + x<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Subtract f(x) from f(x+h) to get:<BR>\n" );
document.write( "f(x+h)-f(x) = 3x^2h + 3xh^2 + h^3 + h<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Divide by \"h\":<BR>\n" );
document.write( "[f(x+h)-f(x)]/h = 3x^2 + 3xh + h^2 + 1<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );