document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202798>Question 202798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the derivative<BR>\n" );
document.write( "f(x)=x^4*e^3x<BR>\n" );
document.write( "f'(x)=\r<BR>\n" );
document.write( "\n" );
document.write( "this is what I came up with and it says my answer is wrong- what did I do wrong<BR>\n" );
document.write( "f'(x) 4x^3*e^3x*3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152968 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=152968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I was working on this problem when I noticed that Stanbon got to it first, but after looking at his solution, I don't quite understand how he arrived at what he got!  So here's my take on it.<BR>\n" );
document.write( "Find the derivative of:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x%5E4%2Ae%5E%283x%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x%5E4%2Ae%5E%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since you are asked to find the derivative of a product of two functions of x, you will need to use the following rules of differential calculus:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28u%2Av%29%2Fdx+=+u%2A%28dv%2Fdx%29+%2B+v%2A%28du%2Fdx%29 ALIGN=MIDDLE  ALT=\"d%28u%2Av%29%2Fdx+=+u%2A%28dv%2Fdx%29+%2B+v%2A%28du%2Fdx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > also:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28e%5Em%29%2Fdx+=+e%5Em%2A%28dm%2Fdx%29 ALIGN=MIDDLE  ALT=\"d%28e%5Em%29%2Fdx+=+e%5Em%2A%28dm%2Fdx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Note: u, v, and m are all functions of x.<BR>\n" );
document.write( "So here we go: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28f%28x%29%29%2Fx+=+x%5E4%2A%28d%28e%5E%283x%29%29%2Fdx%29+%2B+e%5E%283x%29%2A%28d%28x%5E4%29%2Fdx%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28f%28x%29%29%2Fdx+=+x%5E4%2Ae%5E%283x%29%2A3+%2B+e%5E%283x%29%2A4x%5E3 ALIGN=MIDDLE  ALT=\"d%28f%28x%29%29%2Fdx+=+x%5E4%2Ae%5E%283x%29%2A3+%2B+e%5E%283x%29%2A4x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%283x%29 ALIGN=MIDDLE  ALT=\"e%5E%283x%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%28d%28f%28x%29%29+=+e%5E%283x%29%283x%5E4%2B4x%5E3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28d%28f%28x%29%29+=+e%5E%283x%29%283x%5E4%2B4x%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );