document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=991362>Question 991362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+dy%2Fdx+ ALIGN=MIDDLE  ALT=\"+dy%2Fdx+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Does not need to simplifited, just show the first step)\r<BR>\n" );
document.write( "\n" );
document.write( "(a). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=tan%5E3%28e%5E%285x%29%29+ ALIGN=MIDDLE  ALT=\"+y=tan%5E3%28e%5E%285x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(b). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=2%5E%286x-5%29+ ALIGN=MIDDLE  ALT=\"+y=2%5E%286x-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(c). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=%28x%5E2%2Bsqrt%28x%29%29%2F%28cos%28x%29%29+ ALIGN=MIDDLE  ALT=\"+y=%28x%5E2%2Bsqrt%28x%29%29%2F%28cos%28x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(d). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=x%5E2ln%285x%29+ ALIGN=MIDDLE  ALT=\"+y=x%5E2ln%285x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Please give details<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #611256 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=611256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "(a). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=tan%5E3%28e%5E%285x%29%29+ ALIGN=MIDDLE  ALT=\"+y=tan%5E3%28e%5E%285x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Many times apply the chain rule for a derivative:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx ALIGN=MIDDLE  ALT=\"dy%2Fdx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = . . . . . . . . . . . . . . . . . . . (use the formula &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29%28x%5E3%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29%28x%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2 ALIGN=MIDDLE  ALT=\"3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;first; &nbsp;&nbsp;it gives)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3tan%5E2%28e%5E%285x%29%29%2A%28d%2Fdx%29+%28tan%28e%5E%285x%29%29%29+ ALIGN=MIDDLE  ALT=\"3tan%5E2%28e%5E%285x%29%29%2A%28d%2Fdx%29+%28tan%28e%5E%285x%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = . . . . (then use the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29%28tan%28x%29%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29%28tan%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fcos%5E2%28x%29 ALIGN=MIDDLE  ALT=\"1%2Fcos%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; &nbsp;&nbsp;it gives)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "=  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3tan%5E2%28e%5E%285x%29%29 ALIGN=MIDDLE  ALT=\"3tan%5E2%28e%5E%285x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fcos%5E2%28e%5E%285x%29%29%29 ALIGN=MIDDLE  ALT=\"1%2Fcos%5E2%28e%5E%285x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29+%28e%5E%285x%29%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29+%28e%5E%285x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "=  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3tan%5E2%28e%5E%285x%29%29 ALIGN=MIDDLE  ALT=\"3tan%5E2%28e%5E%285x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fcos%5E2%28e%5E%285x%29%29%29 ALIGN=MIDDLE  ALT=\"1%2Fcos%5E2%28e%5E%285x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ae%5E%285x%29 ALIGN=MIDDLE  ALT=\"5%2Ae%5E%285x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );