document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59245>Question 59245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please find derivative and simplify:\r<BR>\n" );
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document.write( "y=ln(3x-5)^3/(5x+4)^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40610 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please find derivative and simplify:<BR>\n" );
document.write( "d/dx[ln(x)]=1/x<BR>\n" );
document.write( "d/dx[cf(x)]=cf'(x)<BR>\n" );
document.write( "d/dx[c]=0<BR>\n" );
document.write( "Chain Rule: d/dx[f(g(x))]=f'(g(x))*g'(x)<BR>\n" );
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document.write( "y=ln((3x-5)^3/(5x+4)^4)  Use properties of logs to simplify first.<BR>\n" );
document.write( "y=ln((3x-5)^3)-ln((5x+4)^4)<BR>\n" );
document.write( "y=3ln(3x-5)-4ln(5x+4)  Now take the derivative using the chain rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=3%281%2F%283x-5%29%29%283%29-4%281%2F%285x%2B4%29%29%285%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=3%281%2F%283x-5%29%29%283%29-4%281%2F%285x%2B4%29%29%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28dy%2Fdx=9%2F%283x-5%29-20%2F%285x%2B4%29%29 ALIGN=MIDDLE  ALT=\"highlight%28dy%2Fdx=9%2F%283x-5%29-20%2F%285x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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