A community for students.
Here's the question you clicked on:
 0 viewing
TuringTest
 4 years ago
Let\[y=x^p(1+x)^q\]find\[y^{(p+q)}\]
TuringTest
 4 years ago
Let\[y=x^p(1+x)^q\]find\[y^{(p+q)}\]

This Question is Closed

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0that's the (p+q)th derivative by the way Sorry that I have to go soon, but I look forward to seeing your responses when I return.

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1ln(y) = ln(x^p) + ln(1+x)^q y'/y = p/x + q/(1+x) hmm

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i think the answer is just (p+q)!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0since the highest power of x will be x^(p+q), and all the other powers of x will become 0 after P+q derivatives.

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1sounds plausible to me

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0hint:(Leibniz' theorem/ binomial stuff)

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0at least in MIT's solution I'd like to see others

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1lol, id like to see mits solution :)

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0I'll send it to you....

AccessDenied
 4 years ago
Best ResponseYou've already chosen the best response.0im curious, what class is this problem from?

AccessDenied
 4 years ago
Best ResponseYou've already chosen the best response.0Ahh, okay. Thank you. :)

Mr.Math
 4 years ago
Best ResponseYou've already chosen the best response.0http://en.wikipedia.org/wiki/Leibniz_rule_(generalized_product_rule)
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.