document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245178>Question 245178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, first of all I'm not sure if this is the right category or not but the question is:\r<BR>\n" );
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document.write( "Find the approxmiate value of the tangent to the following functions at the given x-value. Use the algebraic method.\r<BR>\n" );
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document.write( "A) y = 1/x at x = 1\r<BR>\n" );
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document.write( "B) y = 3cos3x at x = 3\r<BR>\n" );
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document.write( "I have 2 similar questions but I think once I get a grasp from thsoe 2 i can follow the steps for the other ones... Can you please show me the answer for these questions and show your work so I can do questions in the future similar to this.\r<BR>\n" );
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document.write( "Thanks :)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179626 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=179626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the approxmiate value of the tangent to the following functions at the given x-value. Use the algebraic method. <BR>\n" );
document.write( "A) y = 1/x at x = 1<BR>\n" );
document.write( "y' = -1/x^2 which is the equation of the tangent.<BR>\n" );
document.write( "@ x = 1, y' = -1 which is the slope of the tangent.<BR>\n" );
document.write( "You said \"value of the tangent\", I'm not sure what that is.<BR>\n" );
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document.write( "B) y = 3cos3x at x = 3 <BR>\n" );
document.write( "y' = -9sin(3x)<BR>\n" );
document.write( "at x = 3, y' = -9sin(9)<BR>\n" );
document.write( "=~ -3.709066<BR>\n" );
document.write( "I assumed x is in radians.  If not, it will have to be converted before the function is differentiated.<BR>\n" );
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document.write( "I don't know what the \"algebraic method\" is.  You can use this info to check your answers, if nothing else.\r<BR>\n" );
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