document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59236>Question 59236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Find the Derivatives of the following and simplify:\r<BR>\n" );
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document.write( "y=5e^3x<BR>\n" );
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document.write( "y=1/e^x<BR>\n" );
document.write( "   <BR>\n" );
document.write( "y=e^3\r<BR>\n" );
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document.write( "y=e^x2e^2x\r<BR>\n" );
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document.write( "Thanks!<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 #40602 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=40602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the Derivatives of the following and simplify:<BR>\n" );
document.write( "d/dx[cf(x)]=cf'(x)<BR>\n" );
document.write( "d/dx[e^x]=e^x<BR>\n" );
document.write( "d/dx[c]=0<BR>\n" );
document.write( "The chain rule: d/dx[f(g(x)]=f'(g(x))g'(x)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5e%5E%283x%29 ALIGN=MIDDLE  ALT=\"y=5e%5E%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Use the chain rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=5e%5E%283x%29%2A%283%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=5e%5E%283x%29%2A%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=15e%5E%283x%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=15e%5E%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2Fe%5Ex ALIGN=MIDDLE  ALT=\"y=1%2Fe%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---->> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=e%5E%28-x%29 ALIGN=MIDDLE  ALT=\"y=e%5E%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Use the chain rule again:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=e%5E%28-x%29%2A%28-1%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=e%5E%28-x%29%2A%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=-e%5E%28-x%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=-e%5E%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=-1%2Fe%5Ex ALIGN=MIDDLE  ALT=\"dy%2Fdx=-1%2Fe%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":   <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=e%5E3 ALIGN=MIDDLE  ALT=\"y=e%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "There is no x, this is a constant even though it doesn't look like one.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E3=20.08553692 ALIGN=MIDDLE  ALT=\"e%5E3=20.08553692\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The derivative of a constant is 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=0 ALIGN=MIDDLE  ALT=\"dy%2Fdx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "I'm not sure if I'm interpretting you right on this one, let me know if there's a misunderstanding!!!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=e%5Ex%2A2e%5E2x ALIGN=MIDDLE  ALT=\"y=e%5Ex%2A2e%5E2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------->> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2e%5E%28x%2B2x%29 ALIGN=MIDDLE  ALT=\"y=2e%5E%28x%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--->> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2e%5E%283x%29 ALIGN=MIDDLE  ALT=\"y=2e%5E%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Use chain rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=2e%5E%283x%29%2A%283%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=2e%5E%283x%29%2A%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=6e%5E%283x%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=6e%5E%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Happy Calculating!!! </SPAN>\n" );
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