document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=845071>Question 845071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use your graphing calculator to approximate the point at which the function f(x) = 5x^4 - x + 3 has a local minimum value. Give both coordinates rounded to two decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509131 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=509131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is more of a question for you to try on *your* own graphing calculator (or Wolfram Alpha/Mathematica, or some other graphing software -- I'm not going to plot the function for you). Note that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f'(x) = 20x^3 - 1\">, and it can be shown that a local minimum occurs at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large x = \sqrt[3]{\frac{1}{20}}\">. If you graph f(x) on your calculator you should see the same result. </SPAN>\n" );
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