document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140601>Question 1140601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Derivative of y = 2^πx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761427 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=761427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Derivative of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2%5E%28pi%2Ax%29+ ALIGN=MIDDLE  ALT=\"y+=+2%5E%28pi%2Ax%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%29+%282%5E%28pi%2Ax%29+%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29+%282%5E%28pi%2Ax%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Apply exponent rule : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Eb=e%5E%28b%2Aln+%28a%29%29 ALIGN=MIDDLE  ALT=\"a%5Eb=e%5E%28b%2Aln+%28a%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=2%5E%28pi%2Ax%29+=e%5E%28b%2Aln+%28a%29%29 ALIGN=MIDDLE  ALT=\"2%5E%28pi%2Ax%29+=e%5E%28b%2Aln+%28a%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%29+%28e%5E%28b%2Aln+%28a%29%29%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29+%28e%5E%28b%2Aln+%28a%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Apply the chain rule : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%28u%29%2Fdx=+%28df%2Fdu%29%2A%28du%2Fdx%29 ALIGN=MIDDLE  ALT=\"df%28u%29%2Fdx=+%28df%2Fdu%29%2A%28du%2Fdx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=e%5Eu ALIGN=MIDDLE  ALT=\"f=e%5Eu\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=pi%2Ax%2Aln%282%29 ALIGN=MIDDLE  ALT=\"u=pi%2Ax%2Aln%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=%28d%2Fdu%29%28e%5Eu%29%2A%28d%2Fdx%29%28pi%2Ax%2Aln%282%29%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdu%29%28e%5Eu%29%2A%28d%2Fdx%29%28pi%2Ax%2Aln%282%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=e%5Eu%2Api%2Aln%282%29 ALIGN=MIDDLE  ALT=\"e%5Eu%2Api%2Aln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute back :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=+pi+%2Ax%2Aln+%282%29 ALIGN=MIDDLE  ALT=\"u=+pi+%2Ax%2Aln+%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=e%5E%28pi+%2Ax%2Aln+%282%29%29%2Api%2Aln%282%29 ALIGN=MIDDLE  ALT=\"e%5E%28pi+%2Ax%2Aln+%282%29%29%2Api%2Aln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28pi+%2Ax%2Aln+%282%29%29=+2%5E%28pi%2Ax%29 ALIGN=MIDDLE  ALT=\"e%5E%28pi+%2Ax%2Aln+%282%29%29=+2%5E%28pi%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28pi%2Ax%29+%2Api%2Aln%282%29 ALIGN=MIDDLE  ALT=\"2%5E%28pi%2Ax%29+%2Api%2Aln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2Fdx%29+%282%5E%28pi%2Ax%29+%29=2%5E%28pi%2Ax%29+%2Api%2Aln%282%29 ALIGN=MIDDLE  ALT=\"%28d%2Fdx%29+%282%5E%28pi%2Ax%29+%29=2%5E%28pi%2Ax%29+%2Api%2Aln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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