document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200331>Question 200331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> not sure if I have the right area<BR>\n" );
document.write( "consider the following<BR>\n" );
document.write( "6x^3/5+5square root symbol x inside-6/3square root symbol x inside<BR>\n" );
document.write( "use the power rule for differentiation to find f'(x).  Give your answer using the form below where B>D>F<BR>\n" );
document.write( "f'(x)=Ax^B+Cx^D+Ex^F<BR>\n" );
document.write( "can someone help please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150613 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There isn't a 'right' area to put this one.  This is an elementary calculus problem.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x) = 6x^{\frac{3}{5}} + 5\sqrt{x} - \frac{6}{3\sqrt{x}}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Change the radicals to fractional exponents:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x) = 6x^{\frac{3}{5}} + 5x^{\frac{1}{2}} - \frac{6}{3x^{\frac{1}{2}}}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify the third term by removing the common factor of 3 from numerator and denominator and moving the variable to the numerator:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x) = 6x^{\frac{3}{5}} + 5x^{\frac{1}{2}} - 2x^{-\frac{1}{2}}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, since the derivative of the sum is the sum of the derivatives, you can apply the Power Rule to each of the terms separately.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The Power Rule:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x) = ax^n \ \ \Rightarrow\ \ f'(x) = nax^{n-1}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f'(x) = \frac{18}{5}x^{-\frac{2}{5}} + \frac{5}{2}x^{-\frac{1}{2}} - x^{-\frac{3}{2}}\"> \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Which is already the proper order of terms because <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -0.4 > -0.5 > -1.5\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );