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

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

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

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

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

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

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