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" );
document.write( "show all work\r<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" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44606 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=44606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am assuming that the fractions after the variables are exponents, let me know if I'm not interpretting you correctly:<BR>\n" );
document.write( "calculate the first derivatives f(x) for each of the following:<BR>\n" );
document.write( "show all work\r<BR>\n" );
document.write( "\n" );
document.write( "A)f(x)= 2/3x3/4 +  3/4x2/3+ 5/6x2/3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%282%2F3%29x%5E%283%2F4%29%2B%283%2F4%29x%5E%282%2F3%29%2B%285%2F6%29x%5E%282%2F3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%282%2F3%29x%5E%283%2F4%29%2B%283%2F4%2B5%2F6%29x%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%282%2F3%29x%5E%283%2F4%29%2B%283%2F4%2B5%2F6%29x%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%282%2F3%29x%5E%283%2F4%29%2B%289%2F12%2B10%2F12%29x%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%282%2F3%29x%5E%283%2F4%29%2B%289%2F12%2B10%2F12%29x%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%282%2F3%29x%5E%283%2F4%29%2B%2819%2F12%29x%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%282%2F3%29x%5E%283%2F4%29%2B%2819%2F12%29x%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29%282%2F3%29x%5E%283%2F4-1%29%2B%282%2F3%29%2819%2F12%29x%5E%282%2F3-1%29 ALIGN=MIDDLE  ALT=\"%283%2F4%29%282%2F3%29x%5E%283%2F4-1%29%2B%282%2F3%29%2819%2F12%29x%5E%282%2F3-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x%5E%28-1%2F4%29%2B%2819%2F18%29x%5E%28-1%2F3%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29x%5E%28-1%2F4%29%2B%2819%2F18%29x%5E%28-1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2x%5E%281%2F4%29%2B19%2F18x%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"1%2F2x%5E%281%2F4%29%2B19%2F18x%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "B) f(x)= 2/5x3/2 + 5/6x3/4 + 5/6x3/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%282%2F5%29x%5E%283%2F2%29%2B%285%2F6%29x%5E%283%2F4%29%2B%285%2F6%29x%5E%283%2F2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%282%2F5%2B5%2F6%29x%5E%283%2F2%29%2B%285%2F6%29x%5E%283%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%282%2F5%2B5%2F6%29x%5E%283%2F2%29%2B%285%2F6%29x%5E%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%2812%2F30%2B25%2F30%29x%5E%283%2F2%29%2B%285%2F6%29x%5E%283%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%2812%2F30%2B25%2F30%29x%5E%283%2F2%29%2B%285%2F6%29x%5E%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%2827%2F30%29x%5E%283%2F2%29%2B%285%2F6%29x%5E%283%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%2827%2F30%29x%5E%283%2F2%29%2B%285%2F6%29x%5E%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29%2837%2F30%29x%5E%283%2F2-1%29%2B%283%2F4%29%285%2F6%29x%5E%283%2F4-1%29 ALIGN=MIDDLE  ALT=\"%283%2F2%29%2837%2F30%29x%5E%283%2F2-1%29%2B%283%2F4%29%285%2F6%29x%5E%283%2F4-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2837%2F20%29x%5E%281%2F2%29%2B%285%2F8%29x%5E%28-1%2F4%29 ALIGN=MIDDLE  ALT=\"%2837%2F20%29x%5E%281%2F2%29%2B%285%2F8%29x%5E%28-1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2Asqrt%28x%29%2F20%2B5%2F8%5E%281%2F4%29 ALIGN=MIDDLE  ALT=\"37%2Asqrt%28x%29%2F20%2B5%2F8%5E%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "C) f(x)= 3/4x2/3 +5/6x3/2 + 3/4x3/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283%2F4%29x%5E%282%2F3%29%2B%285%2F6%29x%5E%283%2F2%29%2B%283%2F4%29x%5E%283%2F2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283%2F4%29x%5E%282%2F3%29%2B%285%2F6%2B3%2F4%29x%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%283%2F4%29x%5E%282%2F3%29%2B%285%2F6%2B3%2F4%29x%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283%2F4%29x%5E%282%2F3%29%2B%2819%2F12%29x%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%283%2F4%29x%5E%282%2F3%29%2B%2819%2F12%29x%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%283%2F4%29x%5E%282%2F3-1%29%2B%283%2F2%29%2819%2F12%29x%5E%283%2F2-1%29 ALIGN=MIDDLE  ALT=\"%282%2F3%29%283%2F4%29x%5E%282%2F3-1%29%2B%283%2F2%29%2819%2F12%29x%5E%283%2F2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x%5E%28-1%2F3%29%2B%2819%2F8%29x%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29x%5E%28-1%2F3%29%2B%2819%2F8%29x%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2x%5E%281%2F3%29%2B19sqrt%28x%29%2F8 ALIGN=MIDDLE  ALT=\"1%2F2x%5E%281%2F3%29%2B19sqrt%28x%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );