document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194875>Question 1194875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the function <BR>\n" );
document.write( "g(x) = 2 − x2,<BR>\n" );
document.write( " evaluate <BR>\n" );
document.write( "g(x + h) − g(x)<BR>\n" );
document.write( "h<BR>\n" );
document.write( ", 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 #827160 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=827160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> g(x+h)=2-(x+h)^2=2-x^2-2xh-h^2<BR>\n" );
document.write( "g(x)=2-x^2<BR>\n" );
document.write( "subtracting, <BR>\n" );
document.write( "=-2xh-h^2<BR>\n" );
document.write( "divide that by h and get -2x-h<BR>\n" );
document.write( "as h approaches 0 get-2x<BR>\n" );
document.write( "the derivative of 2-x^2 is -2x<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );