document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022762>Question 1022762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the tangent line to the graph of the function at the given point. y = 8x arccos(x &#8722; 1) point (1,4&#960;)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638403 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=638403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's a similar problem with the solution.<BR>\n" );
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document.write( "Find an equation of the tangent line to the graph of the equation at the given point. x^2 + x arctan y = y &#8722; 1,   (-&#960;/4,1)   <BR>\n" );
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document.write( "x^2 + x*atan(y) = y &#8722; 1<BR>\n" );
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document.write( "Differentiate implicitly<BR>\n" );
document.write( "2xdx + dx*atan(y) + (x*1/(1 + y^2))dy = dy<BR>\n" );
document.write( "(2x + atan(y))dx = (1 - (x/(1 + y^2))dy = (1 + y^2 - x)*dy/(1 + y^2)<BR>\n" );
document.write( "dy/dx = (2x + atan(y))*(1 + y^2)/(1 + y^2 - x)<BR>\n" );
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document.write( "@ (-pi/4,1): = (-pi/2 + pi/4)*(1 + 1)/(1 + 1 + pi/4)<BR>\n" );
document.write( "slope = (-pi/2)/(pi/4 + 2)<BR>\n" );
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document.write( "y - 1 = ((-pi/2)/(pi/4 + 2))*(x + pi/4) </SPAN>\n" );
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