A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
find the partial derivatives with respect to x and y, if f(x,y) = \[\sum_{n=0}^{}\] (xy)^n
anonymous
 3 years ago
find the partial derivatives with respect to x and y, if f(x,y) = \[\sum_{n=0}^{}\] (xy)^n

This Question is Closed

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0(n)x^(n1)? but what about the sum?

anonymous
 3 years ago
Best 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the upper limit is infinity. xy<1 is the condition that goes along with the question

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Ah! 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!

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok first tell me the partial derivative of xy^3

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0just find out and tell me

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0find 2 different partials, one with relation to x and one with relation to y
Ask your own question
Sign UpFind more explanations on OpenStudy
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.