document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110417>Question 110417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the derivative of the function with respect to x:\r<BR>\n" );
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document.write( "Square root of 2-3x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80505 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=80505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29%28sqrt%282-3x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29%28sqrt%282-3x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29%281%2F2sqrt%282-3x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29%281%2F2sqrt%282-3x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the derivative of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28A%29 ALIGN=MIDDLE  ALT=\"sqrt%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (just the outside function) to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2sqrt%28A%29 ALIGN=MIDDLE  ALT=\"1%2F2sqrt%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29%281%2F2sqrt%282-3x%5E2%29%29%2A%28-6x%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29%281%2F2sqrt%282-3x%5E2%29%29%2A%28-6x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now take the derivative of the inside function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-3x%5E2 ALIGN=MIDDLE  ALT=\"2-3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x ALIGN=MIDDLE  ALT=\"-6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x ALIGN=MIDDLE  ALT=\"-6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2sqrt%282-3x%5E2%29%29 ALIGN=MIDDLE  ALT=\"1%2F2sqrt%282-3x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x%29%2F%28sqrt%282-3x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28-3x%29%2F%28sqrt%282-3x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So the derivative of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282-3x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%282-3x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with respect to x is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x%29%2F%28sqrt%282-3x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28-3x%29%2F%28sqrt%282-3x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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