document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026695>Question 1026695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose f'(x)=-2x and g'(x)=x^2 and g(4)=-1/4. find the derivative of f(g(4)). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642027 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> g'(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+x%5E3%2F3+%2B+c ALIGN=MIDDLE  ALT=\"g%28x%29+=+x%5E3%2F3+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > for some constant c.\r<BR>\n" );
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document.write( "g(4) = -1/4 ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%284%29+=+4%5E3%2F3+%2Bc+=+-1%2F4 ALIGN=MIDDLE  ALT=\"g%284%29+=+4%5E3%2F3+%2Bc+=+-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> c = -259/12.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+x%5E3%2F3+-+259%2F12 ALIGN=MIDDLE  ALT=\"g%28x%29+=+x%5E3%2F3+-+259%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now f'(x) = -2x ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-x%5E2+%2B+k ALIGN=MIDDLE  ALT=\"f%28x%29+=+-x%5E2+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > for some constant k.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29+=+-%28x%5E3%2F3+-+259%2F12%29%5E2+%2B+k ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29+=+-%28x%5E3%2F3+-+259%2F12%29%5E2+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%28g%28x%29%29%2Fdx+=+-2x%5E2%28x%5E3%2F3+-+259%2F12%29 ALIGN=MIDDLE  ALT=\"df%28g%28x%29%29%2Fdx+=+-2x%5E2%28x%5E3%2F3+-+259%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%28g%284%29%29%2Fdx+=+-2%2A4%5E2%284%5E3%2F3+-+259%2F12%29+=+8 ALIGN=MIDDLE  ALT=\"df%28g%284%29%29%2Fdx+=+-2%2A4%5E2%284%5E3%2F3+-+259%2F12%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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