document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160035>Question 1160035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x) = 4(sqrt)xln(x) find f'(x) and then f'(2)=?<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 #783193 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+4sqrt%28x%29ln%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+4sqrt%28x%29ln%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29 ALIGN=MIDDLE  ALT=\"%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29 ALIGN=MIDDLE  ALT=\"%282%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=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=%28d%2Fdx%29%28+4sqrt%28x%29ln%28x%29%29 ALIGN=MIDDLE  ALT=\"%28x%29+=%28d%2Fdx%29%28+4sqrt%28x%29ln%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........take constant out\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=4%28d%2Fdx%29%28sqrt%28x%29%2A+ln%28x%29%29 ALIGN=MIDDLE  ALT=\"%28x%29+=4%28d%2Fdx%29%28sqrt%28x%29%2A+ln%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "apply the Product Rule: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >'=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g ALIGN=MIDDLE  ALT=\"g\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >* <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g ALIGN=MIDDLE  ALT=\"g\"   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=+f ALIGN=MIDDLE  ALT=\"+f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=4%28%28d%2Fdx%29sqrt%28x%29%2A+ln%28x%29%2Bsqrt%28x%29%2A%28d%2Fdx%29%2Aln%28x%29%29 ALIGN=MIDDLE   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=%28d%2Fdx%29sqrt%28x%29=1%2F%282sqrt%28x%29%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29sqrt%28x%29=1%2F%282sqrt%28x%29%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=%28d%2Fdx%29ln%28x%29=1%2Fx ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29ln%28x%29=1%2Fx\"   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=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=4%28ln%28x%29%2F%282sqrt%28x%29%29%2Bsqrt%28x%29%2Fx%29 ALIGN=MIDDLE  ALT=\"%28x%29+=4%28ln%28x%29%2F%282sqrt%28x%29%29%2Bsqrt%28x%29%2Fx%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=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=4%28ln%28x%29%2F%282sqrt%28x%29%29%2B%28sqrt%28x%29%29%5E2%2F%28x%2Asqrt%28x%29%29%29 ALIGN=MIDDLE   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=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=4%28ln%28x%29%2F%282sqrt%28x%29%29%2Bx%2F%28x%2Asqrt%28x%29%29%29 ALIGN=MIDDLE  ALT=\"%28x%29+=4%28ln%28x%29%2F%282sqrt%28x%29%29%2Bx%2F%28x%2Asqrt%28x%29%29%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=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=4%28ln%28x%29%2F%282sqrt%28x%29%29%2B2%2F%282sqrt%28x%29%29%29 ALIGN=MIDDLE  ALT=\"%28x%29+=4%28ln%28x%29%2F%282sqrt%28x%29%29%2B2%2F%282sqrt%28x%29%29%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=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=2%28ln%28x%29%2F%28sqrt%28x%29%29%2B2%2F%28sqrt%28x%29%29%29 ALIGN=MIDDLE  ALT=\"%28x%29+=2%28ln%28x%29%2F%28sqrt%28x%29%29%2B2%2F%28sqrt%28x%29%29%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=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=%282%28ln%28x%29%2B2%29%29%2Fsqrt%28x%29 ALIGN=MIDDLE  ALT=\"%28x%29+=%282%28ln%28x%29%2B2%29%29%2Fsqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29=%282%28ln%282%29%2B2%29%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"%282%29=%282%28ln%282%29%2B2%29%29%2Fsqrt%282%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=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29=3.808685 ALIGN=MIDDLE  ALT=\"%282%29=3.808685\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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