document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63931>Question 63931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> calculate the first derivatives f(x) for each of the following:<BR>\n" );
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document.write( "A)f(x)= 2/3x3/4 +  3/4x2/3+ 5/6x2/3\r<BR>\n" );
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document.write( "B) f(x)= 2/5x3/2 + 5/6x3/4 + 5/6x3/2\r<BR>\n" );
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document.write( "C) f(x)= 3/4x2/3 +5/6x3/2 + 3/4x3/2<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44602 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=44602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)f(x)= 2/3x^(3/4) + 3/4x^(2/3)+ 5/6x^(2/3)<BR>\n" );
document.write( "B) f(x)= 2/5x^(3/2) + 5/6x^(3/4) + 5/6x^(3/2)<BR>\n" );
document.write( "C) f(x)= 3/4x^(2/3) +5/6x^(3/2) + 3/4x^(3/2)<br>\r<BR>\n" );
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document.write( "A) f'(x) = (2/3 * 3/4)x^(-1/4) + (3/4 * 2/3)x^(-1/3) + (5/6 * 2/3)x^(-1/3)<BR>\n" );
document.write( "         = x^(-1/4)/2 + x^(-1/3)/2 + 5x^(1/3)/9<BR>\n" );
document.write( "         = 1/(2x^(1/4)) + 1/(2x^(1/3)) + 5/(9x^(1/3))<br>\r<BR>\n" );
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document.write( "B) f'(x) = (2/5 * 3/2)x^(1/2) + (5/6 * 3/4)x^(-1/4) + (5/6 * 3/2)x^(1/2)<BR>\n" );
document.write( "         = 3x^(1/2)/5 + 5x^(-1/4)/8 + 5x^(1/2)<BR>\n" );
document.write( "         = 3x^(1/2)/5 + 5/(8x^(1/4)) + 5x^(1/2)<br>\r<BR>\n" );
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document.write( "C) f'(x) = (3/4 * 2/3)x^(-1/3) + (5/6 * 3/2)x^(1/2) + (3/4 * 3/2)x^(1/2)<BR>\n" );
document.write( "         = x^(-1/3)/2 + 5x^(1/2)/4 + 9x^(1/2)/8<BR>\n" );
document.write( "         = 1/(2x^(1/3)) + 5x^(1/2)/4 + 9x^(1/2)/8 </SPAN>\n" );
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