document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=726988>Question 726988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please find the derivative of g'(x) if g(x)=f(kx)\r<BR>\n" );
document.write( "\n" );
document.write( "Is this problem solved using the product rule?\r<BR>\n" );
document.write( "\n" );
document.write( "Could you also please describe how you received the answer. \r<BR>\n" );
document.write( "\n" );
document.write( "I would really appreciate this! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444916 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=444916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You use what is called (at least in the USA) the chain rule.<BR>\n" );
document.write( "It applies to composite functions.<BR>\n" );
document.write( "You have g(x)=f(h(x)) where f(x) is your function and h(x)=kx<BR>\n" );
document.write( "with h'(x)=k, a constant<BR>\n" );
document.write( "g'(x)=(h'(x))*(f'(kx))=k*f'(kx)<BR>\n" );
document.write( " <BR>\n" );
document.write( "Example:<BR>\n" );
document.write( "f(x)=sin(x) with f'(x)=cos(x)<BR>\n" );
document.write( "k=3<BR>\n" );
document.write( "g(x)=f(3x)=sin(3x) has g'(x)=3*f'(3x)=3cos(3x) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );