document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711165>Question 711165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I need to see how to solve the following problem. i have several of these I need to complete and the solution to this would help me greatly!\r<BR>\n" );
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document.write( "Locate the stationary point(s) on the following curve and determine whether it is (they are) a minimum or maximum point(s):<BR>\n" );
document.write( "y = 3x^2 – 6x.\r<BR>\n" );
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document.write( "Many thanks in advance.<BR>\n" );
document.write( "Mike </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437314 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=437314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The stationary point(s) are where the derivative of the function = 0.<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "y=3x^2–6x<BR>\n" );
document.write( "First Derivative:<BR>\n" );
document.write( "dy/dx=6x-6<BR>\n" );
document.write( "Equate it to zero:<BR>\n" );
document.write( "6x-6=0<BR>\n" );
document.write( "Solve for x:<BR>\n" );
document.write( "6x=6<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "Plug this value of x back into the original equation to get the Y-coordinate:<BR>\n" );
document.write( "y=3x^2–6x<BR>\n" );
document.write( "y=3(1)–6(1)<BR>\n" );
document.write( "y=-3<BR>\n" );
document.write( "So your answer is:<BR>\n" );
document.write( "(1,-3)<BR>\n" );
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document.write( "To find out if it is a maximum or a minimum, you need to take the second derivative and determine it's sign. If second derivative is < 0, it is a max. If > 0 it is a min. I will leave that part to you.<BR>\n" );
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document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
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