document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200978>Question 1200978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is from my derivatives of exponents lesson.\r<BR>\n" );
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document.write( "If f(x)=10^(3x-5) times e^[(2x)^2], determine the values of x so that f'(x)=0.\r<BR>\n" );
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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 #835200 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+10%5E%283x-5%29e%5E%282x%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+10%5E%283x-5%29e%5E%282x%29%5E2\"   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+=+10%5E%283x-5%29e%5E%282x%29%5E2%2A4x+%2B+10%5E%283x-5%293ln%2810%29%2Ae%5E%282x%29%5E2 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+=+10%5E%283x-5%29e%5E%282x%29%5E2%284x%2B3ln%2810%29%29 ALIGN=MIDDLE  ALT=\"d%28f%28x%29%29%2Fdx+=+10%5E%283x-5%29e%5E%282x%29%5E2%284x%2B3ln%2810%29%29\"   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+=+10%5E%283x-5%29e%5E%282x%29%5E2%284x%2Bln%281000%29%29 ALIGN=MIDDLE  ALT=\"d%28f%28x%29%29%2Fdx+=+10%5E%283x-5%29e%5E%282x%29%5E2%284x%2Bln%281000%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Clearly, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28f%28x%29%29%2Fdx ALIGN=MIDDLE  ALT=\"d%28f%28x%29%29%2Fdx\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be zero only if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2Bln%281000%29 ALIGN=MIDDLE  ALT=\"4x%2Bln%281000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2Bln%281000%29+=+0 ALIGN=MIDDLE  ALT=\"4x%2Bln%281000%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1%2F4%29ln%281000%29+=+-1.7269 ALIGN=MIDDLE  ALT=\"x+=+%28-1%2F4%29ln%281000%29+=+-1.7269\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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