document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183715>Question 183715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Differentiate the function. Do not expand any expression before differentiating:\r<BR>\n" );
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document.write( "a) f(x)=[(2-x)^4+16]^3<BR>\n" );
document.write( "b) f(x)=1/((x^2)-16)^5<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 #137888 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=137888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Differentiate the function. Do not expand any expression before differentiating: <BR>\n" );
document.write( "Use the chain rule as follows:<BR>\n" );
document.write( "a) f(x)=[(2-x)^4+16]^3\r<BR>\n" );
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document.write( "f'(x) = 3[(2-x)^4+16]^2 * 4(2-x)^3 * (-1)\r<BR>\n" );
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document.write( "---------------------\r<BR>\n" );
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document.write( "b) f(x)=1/((x^2)-16)^5 <BR>\n" );
document.write( "f(x) = ((x^2)-16)^-5\r<BR>\n" );
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document.write( "f'(x) = -5[((x^2)-16)^-4]\r<BR>\n" );
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document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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