February 20th, 2009, 07:26 AM  #1 
Newbie Joined: Sep 2007 Posts: 17 Thanks: 0  Chain Rule
y=[e^(u)  e^(u)] / [e^(u)  e^(u)] How do would you treat "u" when differentiating with "e"? 
February 20th, 2009, 09:58 AM  #2 
Newbie Joined: Jan 2009 Posts: 4 Thanks: 0  Re: Chain Rule
One of those subtraction signs wants to be a plus, I think. But anyway... If you're differentiating with respect to u, then for e^u it's as simple as... ... whereas ... On the other hand, if u is standing for a function of some other variable, as it often does, and you're differentiating with respect to that other variable, then apply the chain rule accordingly  e.g., Don't integrate  balloontegrate! http://www.ballooncalculus.org/examples 

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