document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439372>Question 439372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can I get help with the following problem please!!<BR>\n" );
document.write( "Find the equation of the tangent line to the curve y = (4x + 1) / (3x - 2) at the point (1, -2). (Write the line in y = mx + b form)<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 #303618 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=303618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can I get help with the following problem please!!<BR>\n" );
document.write( "Find the equation of the tangent line to the curve y = (4x + 1) / (3x - 2) at the point (1, -2). (Write the line in y = mx + b form)\r<BR>\n" );
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document.write( "f'(x) = [(3x-2)(4)-(4x+1)/(3)]/(3x-2)^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f' = [(12x-8)-(4x+1)]/(3x-2)^2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f' = [8x-9]/[3x-2]^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f'(1,-2) = [8-9]/[3-2]^2 = 1/1 = 1<BR>\n" );
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document.write( "Form: y = mx + b<BR>\n" );
document.write( "-2 = 1*1 + b<BR>\n" );
document.write( "b = -3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation of the tangent line at (1,-2):<BR>\n" );
document.write( "y = x-3<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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