document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380774>Question 380774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the derivative of ((x^2-1)/(2x^3+1))^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270247 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=270247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the chain rule:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29+%28%28x%5E2+-+1%29%2F%282x%5E3+%2B+1%29%29%5E4+=+4+%28%28x%5E2+-+1%29%2F%282x%5E3+%2B+1%29%29%5E3+%28d%2Fdx%29+%28%28x%5E2+-+1%29%2F%282x%5E3+%2B+1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By the quotient rule,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29+%28%28x%5E2+-+1%29%2F%282x%5E3+%2B+1%29%29+=+%28%282x%29%282x%5E3+%2B+1%29+-+%28x%5E2+-+1%29%286x%5E2%29%29%2F%28%282x%5E3+%2B+1%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, the derivative of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2+-+1%29%2F%282x%5E3+%2B+1%29%29%5E4 ALIGN=MIDDLE  ALT=\"%28%28x%5E2+-+1%29%2F%282x%5E3+%2B+1%29%29%5E4\"   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=4+%28%28x%5E2+-+1%29%2F%282x%5E3+%2B+1%29%29%5E3+%28%282x%29%282x%5E3+%2B+1%29+-+%28x%5E2+-+1%29%286x%5E2%29%29%2F%28%282x%5E3+%2B+1%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which you can simplify from there.<BR>\n" );
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