document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=381641>Question 381641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help,\r<BR>\n" );
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document.write( "Use the chain rule of partial differentiation to find df/dt in terms of t where f(x, y) = e^(2x-3y) and x = t^2,<BR>\n" );
document.write( "y = 1/t.<BR>\n" );
document.write( "Check the result by direct substitution for x and y in f(x, y), followed by ordinary differentiation with respect<BR>\n" );
document.write( "to t.<BR>\n" );
document.write( "Hence show that when t = 1, df/dt = 7/e.\r<BR>\n" );
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document.write( "Thank You<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 #270711 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=270711\">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=df%2Fdt=%28df%2Fdx%29%2A%28dx%2Fdt%29%2B%28df%2Fdy%29%2A%28dy%2Fdt%29 ALIGN=MIDDLE  ALT=\"df%2Fdt=%28df%2Fdx%29%2A%28dx%2Fdt%29%2B%28df%2Fdy%29%2A%28dy%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdt=%282e%5E%282t%5E2-3%2Ft%29%29%2A%282t%29%2B%28-3%29%28e%5E%282t%5E2-3%2Ft%29%29%28-t%5E%28-2%29%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=df%2Fdt=4t%2Ae%5E%282t%5E2-3%2Ft%29%2B3%2Ft%5E2e%5E%282t%5E2-3%2Ft%29 ALIGN=MIDDLE  ALT=\"df%2Fdt=4t%2Ae%5E%282t%5E2-3%2Ft%29%2B3%2Ft%5E2e%5E%282t%5E2-3%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdt=e%5E%282t%5E2-3%2Ft%29%284t%2B3%2Ft%5E2%29 ALIGN=MIDDLE  ALT=\"df%2Fdt=e%5E%282t%5E2-3%2Ft%29%284t%2B3%2Ft%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=1 ALIGN=MIDDLE  ALT=\"t=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdt=e%5E%282-3%29%284%2B3%29 ALIGN=MIDDLE  ALT=\"df%2Fdt=e%5E%282-3%29%284%2B3%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%28df%2Fdt=7%2Fe%29 ALIGN=MIDDLE  ALT=\"highlight%28df%2Fdt=7%2Fe%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I get that too.<BR>\n" );
document.write( "Well done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );