document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190933>Question 1190933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the product rule to differentiate each of the following with respect to x.<BR>\n" );
document.write( "a) (1-x^2)^2(1+2x^2)<BR>\n" );
document.write( "b) x^2(1-4x)^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822692 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the product rule to differentiate each of the following with respect to x.<BR>\n" );
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document.write( "a) (1-x^2)^2(1+2x^2)<BR>\n" );
document.write( "= d/dx((1-x^2)^2 * (1+2x^2) + (1-x^2)^2 * d/dx(1+2x^2)<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%281-x%5E2%29%2A%28-2x%29%2A%281%2B2x%5E2%29+%2B+%28%281-x%5E2%29%5E2%29%2A4x ALIGN=MIDDLE  ALT=\"2%2A%281-x%5E2%29%2A%28-2x%29%2A%281%2B2x%5E2%29+%2B+%28%281-x%5E2%29%5E2%29%2A4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b) x^2(1-4x)^3<BR>\n" );
document.write( "d/dx = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2A%281-4x%29%5E3+%2B+%28x%5E2%29%2A3%281-4x%29%5E2%2A%28-4%29 ALIGN=MIDDLE  ALT=\"2x%2A%281-4x%29%5E3+%2B+%28x%5E2%29%2A3%281-4x%29%5E2%2A%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Some combining of terms is possible. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );