Ok... I have gotten this far with this problem:

xy+y^3=1

[x'*y+x*y'] +[3y^2]=0

My reasoning:

To get [x'*y+x+y'] I used the product rule

To get [3y^2] I used the product rule

to get "0" I used the constant rule

so... what's next ?

I know I am solving for y'

but can't figure out the next step

How to get y' alone one side or should it be taken away at this point ?

VERY VERY confused