document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923796>Question 923796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the derivative of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28sin%5E3%282x%5E4%2B1%29%29%5E3 ALIGN=MIDDLE  ALT=\"3%28sin%5E3%282x%5E4%2B1%29%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Sorry I was unable to find the appropriate category for this question.\r<BR>\n" );
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document.write( "So far I have come up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28sin%282x%5E4%2B1%29%29%5E2%2Acos%282x%5E4%2B1%29%2A8x%5E3 ALIGN=MIDDLE  ALT=\"9%28sin%282x%5E4%2B1%29%29%5E2%2Acos%282x%5E4%2B1%29%2A8x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Is this correct so far? What would be my next step? Could you finish this for me please?\r<BR>\n" );
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document.write( "Thank you for your time.\r<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 #560334 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=560334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I would probably rewrite it as <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 27 \sin^9  (2x^4 + 1)\"> to make the differentiation simpler and less likely to make mistakes. Recall <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \sin^a \theta = (\sin \theta)^a\">.\r<BR>\n" );
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document.write( "The derivative is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 27 \cdot 9 \sin^8 (2x^4 + 1) \cdot \frac{d}{dx} \sin (2x^4 + 1)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large = 243 \sin^8 (2x^4 + 1) \cdot \cos (2x^4 + 1) \cdot 8x^3\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large = 1944x^3 \sin^8 (2x^4 + 1) \cos (2x^4 + 1)\">\r<BR>\n" );
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