document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=410752>Question 410752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x)= (t^2/3) + 2(t^3/2)<BR>\n" );
document.write( "What is the derivative of f(x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288812 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=288812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First of all, according to what you have written, f(x) is a function in terms of t, not x, implying that f(x) is some constant and the derivative is 0 (If it was a function in terms of x and t it would be denoted f(x,t)). However we can let\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+t%5E%282%2F3%29+%2B+2%28t%5E%283%2F2%29%29 ALIGN=MIDDLE  ALT=\"f%28t%29+=+t%5E%282%2F3%29+%2B+2%28t%5E%283%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Applying the power rule,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdt%29%28f%28t%29%29+=+%282%2F3%29t%5E%28-1%2F3%29+%2B+2%2A%283%2F2%29t%5E%281%2F2%29+=+%282%2F3%29t%5E%28-1%2F3%29+%2B+3t%5E%281%2F2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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