A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
How do I differentiate ln(xy^2)=y
anonymous
 5 years ago
How do I differentiate ln(xy^2)=y

This Question is Closed

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0differentiate y with respect to x, i presume?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes with respect to x

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0my first instinct says try implicit differentiation, but u substitution could be an option.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It is an implicit differentiation problem, however I can't figure out what ln(xy^2) differentiates to... if I could figure that out I could simplify it algebraically no problem

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0\[\frac{\delta y}{\delta x} \ln(xy^2) = y^2 * \frac{\delta}{\delta x} (x)\]

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0so since we are differentiating with respect to x, we can consider any 'y' portions to be constant and proceed as such.

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0but for implicit differentiation, you have to include a dy/dx term when you take the derivative

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you! That helps me understand how to finish the problem much better!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The derivative is implicit, but it also requires chain rule (because xy^2 is a function) and, later, product rule (x times y^2). The right hand side is just dy/dx. That help?
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.