× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
e
5
e
4
4
d
4
o
3
p
3
t
3
3
m
3
p
3
m
3
f
3
Home Q & A Board Science-Related Homework Help Mathematics Calculus
New Topic  
Rellias Minn Rellias Minn
wrote...
Posts: 9
Rep: 0 0
A year ago
Solve for the y′ of the given implicit functions (Based from the example).
1. \(3y^2\left(x+y\right)=x-y\)

Example:
\(\left(x+y\right)^2=3xy\)

\(2\left(x+y\right)\left(dx+dy\right)=3\left(xdy+ydx\right)\)

\(2\left(xdx+xdy+ydx+ydy\right)=3xdy+3ydx\)

\(2xdy+2ydy-3xdy=3ydx-2xdx-2ydx\)

\(dy\left(2y-x\right)=dx\left(y-2x\right)\)

\(\frac{dy}{dx}=y'=\frac{y-2x}{2y-x}\)
Read 148 times
2 Replies

Related Topics

Replies
Rellias M. Author
wrote...
#1
A year ago
Umm... I don't quite understand how would I multiply 3y^2 and (x+y) in order for it to factor out the dx because it conflicts with my solution if I try to solve it
wrote...
#2
Educator
A year ago
I believe it is done like this:
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  993 People Browsing
 106 Signed Up Today
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Live Chat
Related Images
  
 1304
  
 1609
  
 1302
Your Opinion
Which 'study break' activity do you find most distracting?
Votes: 741
Previous poll results: How often do you eat-out per week?