document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992048>Question 992048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this question and provide the workings. Find an equation of the tangent line to the graph of the function f at the point (1, 15). f(x)=&#12310;3x&#12311;^2-11x+23 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #611692 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=611692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help with this question and provide the workings. <BR>\n" );
document.write( "Find an equation of the tangent line to the graph of the function f at the point (1, 15). f(x)=&#12310;3x&#12311;^2-11x+23<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "f'(x) = 6x-11<BR>\n" );
document.write( "f'(1) = -5<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Equation of line with m = -5 passing thru (1,15)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Form:: y = mx + b<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"b\"::<BR>\n" );
document.write( "15 = 1*-5 + b<BR>\n" );
document.write( "b = 20<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation <BR>\n" );
document.write( "y = -5x+20<BR>\n" );
document.write( "-----------\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );