A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
given an implicit function y+xy+y ^{2}=2 how do you find its derivative..
anonymous
 4 years ago
given an implicit function y+xy+y ^{2}=2 how do you find its derivative..

This Question is Closed

ash2326
 4 years ago
Best ResponseYou've already chosen the best response.1Find the derivative with respect to x for each term, I'll show you we need to find dy/dx \[\frac{d}{dx}( y+xy+ y^2)=\frac{d}{dx} (2)\] we get \[\frac{dy}{dx}+y+x\frac{dy}{dx}+2y\frac{dy}{dx}=0\] now combine common terms \[\frac{dy}{dx}(1+x+2y)+y=0\] \[=> \frac{dy}{dx}(1+x+2y)=y\] so we get \[\frac{dy}{dx}=\frac{y}{1+x+2y}\] The point to remember is to combine all dy/dx terms and then find dy/dx
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.