document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=991663>Question 991663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = (4x^2)-7))/(x^2+1)\r<BR>\n" );
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document.write( "Then,<BR>\n" );
document.write( "f'(2) = ?\r<BR>\n" );
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document.write( "Please explain<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612090 by </B><A HREF=/tutors/aboutme.mpl?userid=satyareddy22><B>satyareddy22(84)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=satyareddy22><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=612090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = (4x^2)-7))/(x^2+1)<BR>\n" );
document.write( "Differentiating<BR>\n" );
document.write( "f'(x)=[(x^2+1)d/dx(4x^2)-7)-(4x^2)-7)d/dx(x^2+1)]/(x^2+1)^2<BR>\n" );
document.write( "f'(x)=[(x^2+1)(8x)-(4x^2)-7)(2x)]/(x^2+1)^2<BR>\n" );
document.write( "f'(x)=[8x^3+8x-8x^3+14x]/(x^2+1)^2<BR>\n" );
document.write( "f'(x)=22x/(x^2+1)^2<BR>\n" );
document.write( "Now ,<BR>\n" );
document.write( "f'(2)=22*2/(2^2+1)^2=44/5^2=44/25<BR>\n" );
document.write( "f'(2)=44/25<BR>\n" );
document.write( "   </SPAN>\n" );
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