document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967188>Question 967188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation of a curve is given by <BR>\n" );
document.write( "y = 4x^4+10<BR>\n" );
document.write( "Obtain the tangent line to the curve at the point where x = 2. Please enter your answer as an equation in the form: y = m x + c <BR>\n" );
document.write( "for some constants m, c. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591156 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=591156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%28d%2Fdx%29%284x%5E4%2B10%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28d%2Fdx%29%284x%5E4%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=16x%5E3%2B0 ALIGN=MIDDLE  ALT=\"dy%2Fdx=16x%5E3%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "At x=2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=16%2A%282%29%5E3=16%2A8=highlight_green%28128%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=16%2A%282%29%5E3=16%2A8=highlight_green%28128%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the slope of the tangent line at x=2.\r<BR>\n" );
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document.write( "The y coordinate for x=2, according to the given degree-four equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%282%29%5E4%2B10=highlight_green%2874%29 ALIGN=MIDDLE  ALT=\"4%2A%282%29%5E4%2B10=highlight_green%2874%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You want the equation of the tangent line at point (2,74) and slope 128.  You can use point-slope form to continue...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y-74=128%28x-2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y-74=128%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..... </SPAN>\n" );
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