document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126813>Question 126813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y = x^3 – 3x^2 \r<BR>\n" );
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document.write( "The critical value I got is:  2 <BR>\n" );
document.write( "The inflection value I got is:  1\r<BR>\n" );
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document.write( "Could you tell me if I figured these answers out correctly?\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92895 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=92895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = x^3 – 3x^2 <BR>\n" );
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document.write( "Definition: x=c is a critical point of the function f(x) if<BR>\n" );
document.write( "1st f(c) exists <BR>\n" );
document.write( "AND<BR>\n" );
document.write( "f'(c)=0  OR f'(c) does not exist<BR>\n" );
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document.write( "Your Problem:<BR>\n" );
document.write( "f'(x) = 3x^2-6x<BR>\n" );
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document.write( "Check f'(x)=0<BR>\n" );
document.write( "3x^2-6x = 0<BR>\n" );
document.write( "3x(x-2)=0<BR>\n" );
document.write( "x = 0 or x = 2<BR>\n" );
document.write( "These are potential critical values.<BR>\n" );
document.write( "Check f(0) to see if it exists; it does<BR>\n" );
document.write( "Check f(2) to see if it exists; it does<BR>\n" );
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document.write( "Conclusion: x=0 and x=2 are critical values of f(x)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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