document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534751>Question 534751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation for the tangent line to the curve y= f(x) where through the point (1, -3) where f(x)= x^8- 4x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351634 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=351634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation for the tangent line to the curve y= f(x) where through the point (1, -3) where f(x)= x^8- 4x<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "f'(x) = 8x^7 - 4<BR>\n" );
document.write( "f'(1) = 4 = slope<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "-3 = 4*1 + b<BR>\n" );
document.write( "b = -7<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "y = 4x - 7<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );