document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840164>Question 840164</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Determine the general equation of the scant from any point ( A,f(A) to the point on f(x)= 4^x where x=2. Describe how you would use this to find the equation of the tangent at the point (2, f(2)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506053 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=506053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line passes through two points (2, 16) and (x, 4^x). Find the slope of the line between these two points, and then find the equation of the line using point-slope form.\r<BR>\n" );
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document.write( "To find the equation of the tangent at (2, 16), let (x, 4^x) get arbitrarily close to (2, 16). Note that f'(x) = 4^x ln 4, and f'(2) = 16 ln 4. </SPAN>\n" );
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