V VyseV1 New member Joined Apr 30, 2007 Messages 7 May 20, 2007 #1 Im having some difficultly in exponential quotient rule. See when i see: 2e^x/1+e^x I keep seeing that i can eliminate the 2e^x but it never seems to work out properly. So if anyone has tips for this that would be greatly welcomed.
Im having some difficultly in exponential quotient rule. See when i see: 2e^x/1+e^x I keep seeing that i can eliminate the 2e^x but it never seems to work out properly. So if anyone has tips for this that would be greatly welcomed.
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 May 20, 2007 #2 \(\displaystyle \L\\\frac{(1+e^{x})(2e^{x})-(2e^{x})(e^{x})}{(1+e^{x})^{2}}\) Factor out 2e^x and it simplifies to: =\(\displaystyle \L\\\frac{2e^{x}}{(1+e^{x})^{2}}\)
\(\displaystyle \L\\\frac{(1+e^{x})(2e^{x})-(2e^{x})(e^{x})}{(1+e^{x})^{2}}\) Factor out 2e^x and it simplifies to: =\(\displaystyle \L\\\frac{2e^{x}}{(1+e^{x})^{2}}\)
