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INT
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find the partial derivatives with respect to x and y, if f(x,y) = \[\sum_{n=0}^{}\] (xy)^n
 one year ago
 one year ago
INT Group Title
find the partial derivatives with respect to x and y, if f(x,y) = \[\sum_{n=0}^{}\] (xy)^n
 one year ago
 one year ago

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Ahaanomegas Group TitleBest ResponseYou've already chosen the best response.0
So, wrt to one variable, you treat the other as a constant. So how would you differentiate (constant*x)^n?
 one year ago

INT Group TitleBest ResponseYou've already chosen the best response.0
(n)x^(n1)? but what about the sum?
 one year ago

Ahaanomegas Group TitleBest ResponseYou've already chosen the best response.0
@First question  Yep. @Second question  What's the upper limit? Also, what's the xy < 1 for? Sorry, I'm not quite understanding the question fully.
 one year ago

INT Group TitleBest ResponseYou've already chosen the best response.0
the upper limit is infinity. xy<1 is the condition that goes along with the question
 one year ago

Ahaanomegas Group TitleBest ResponseYou've already chosen the best response.0
Ah! Makes sense. So, basically, for x, it would be: \[ \displaystyle\sum_{n=0}^{\infty} nx^{n1}. \]At this point, I'll just wait for another response. I really have no idea myself. Sorry. :( All the best!
 one year ago

nitz Group TitleBest ResponseYou've already chosen the best response.0
patial derivative wrt to x \[\sum_{n=0}^{n=\infty}nx ^{n1}y ^{n}\]
 one year ago

nitz Group TitleBest ResponseYou've already chosen the best response.0
and wrt to y \[\sum_{n=0}^{n=\infty}x ^{n}(ny ^{n1})\]
 one year ago

INT Group TitleBest ResponseYou've already chosen the best response.0
I dont think that is quite right. I dont get how you take a partial of a sum and how you would account for xy < 1
 one year ago

nitz Group TitleBest ResponseYou've already chosen the best response.0
ok first tell me the partial derivative of xy^3
 one year ago

nitz Group TitleBest ResponseYou've already chosen the best response.0
wrt to x??????
 one year ago

nitz Group TitleBest ResponseYou've already chosen the best response.0
just find out and tell me
 one year ago

INT Group TitleBest ResponseYou've already chosen the best response.0
find 2 different partials, one with relation to x and one with relation to y
 one year ago
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