Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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
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

This Question is Closed

AhaanomegasBest 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

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

AhaanomegasBest 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

INTBest 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

AhaanomegasBest 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

nitzBest 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

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

INTBest 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

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

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

INTBest 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
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.