document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260676>Question 260676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi :o)<BR>\n" );
document.write( "Last calculus question if anyone can help???\r<BR>\n" );
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document.write( "Find derivative of y = (x-1)³(x²-2)²\r<BR>\n" );
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document.write( "I thought I'd need to use both the product and chain rules, so tried;\r<BR>\n" );
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document.write( "u=(x-1)³  du^n/dx=3(x-1)²(1)<BR>\n" );
document.write( "v=(x²-2)² dv^n/dx=2(x²-2)^1(2x)\r<BR>\n" );
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document.write( "= {(x-1)³[3(x-1)²(1)]} + {(x²-2)²[2(x²-2)^1(2x)]}<BR>\n" );
document.write( "= [(x-1)³3(x-1)²] + [(x²-2)²4x(x²-2)]<BR>\n" );
document.write( "= 3(x-1)^5 + 4x(x²-2)^3\r<BR>\n" );
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document.write( "...does that look right? Can I go further?<BR>\n" );
document.write( "Thanks so, so much again :o) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192072 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=192072\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y=(x-1)^3(x^2-2)^2\"> ... Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{\prime}=\frac{d}{dx}\left((x-1)^3(x^2-2)^2\right)\"> ... Derive both sides with respect to x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{\prime}=\frac{d}{dx}\left((x-1)^3\right)(x^2-2)^2+(x-1)^3\frac{d}{dx}\left((x^2-2)^2\right)\"> ... Use the product rule.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{\prime}=3(x-1)^2(x^2-2)^2+4x(x-1)^3(x^2-2)\"> ... Use the chain rule.\r<BR>\n" );
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document.write( "Here's <a  rel=nofollow HREF=\"http://www.wolframalpha.com/input/?i=%28x-1%29^3*%28x^2-2%29^2\">confirmation</a> of the answer. </SPAN>\n" );
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