document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129110>Question 129110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is actually from my calculus class.  I'm trying to work out the answer for a derivative using the \"chain rule\".  The question is what is the derivative of the square root of x under the square root of x, all under a third square root of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94380 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=94380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the derivative of the square root of x under the square root of x, all under a third square root <BR>\n" );
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document.write( "If I read you correctly you have<BR>\n" );
document.write( "f(x) = sqrt[sqrt[(x)sqrt(x)]]<BR>\n" );
document.write( "f(x) = sqrt[sqrt[x^(3/2)]]<BR>\n" );
document.write( "f(x) = sqrt[x^(3/4)]<BR>\n" );
document.write( "f(x) = x^(3/8)<BR>\n" );
document.write( "f'(x) = (3/8)x^(-5/8)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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