document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048734>Question 1048734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6. g(w) = (w^8 + 3)(5w^2 + 3w + 1)<BR>\n" );
document.write( "7. (w^3 + 4)(w^3 &#8722; 1)<BR>\n" );
document.write( "8. f(x) = 2x+1 / x&#8722;1<BR>\n" );
document.write( "9. y = (2&#8730;x &#8722; 1)(4x + 1)^&#8722;1\r<BR>\n" );
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document.write( "For problems 11-12, find derivatives by two different methods.\r<BR>\n" );
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document.write( "10.  y = (t^2 + 7t)(3t &#8722; 4)<BR>\n" );
document.write( "11.  y = 4s^3&#8722;8s^2+4s / 4s<BR>\n" );
document.write( "12.  Evaluate the following limit. limx&#8594;0 sin3x / sin4x\r<BR>\n" );
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document.write( "For problems 13-15, find dy / dx for the following functions.\r<BR>\n" );
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document.write( "13. y = 5x^2+cosx<BR>\n" );
document.write( "14. y =1&#8722;sinx / 1+sinx<BR>\n" );
document.write( "15. y=secxtanx<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 #664334 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=664334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \left(t^2\ +\ 7t\right)\left(3t\ -\ 4\right)\">\r<BR>\n" );
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document.write( "Method 1: Multiply the two binomials and then take the derivative of the resulting 3rd degree polynomial by using the Sum and Power rules.\r<BR>\n" );
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document.write( "Method 2: Use the product rule:\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\ =\ uv\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large u\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large v\"> are functions of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{dy}{dx}\ =\ u\frac{dv}{dx}\ +\ v\frac{du}{dx}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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