Need Help w/ Implicit differentiation problem: y^3+x^2y=tan^-1y

[swjafar]

The problem is y^3+x^2y=tan^-1y

After doing the necessary dx/dy differentiation, I ended up with

y' = (2xy) / [1/(1+y^2) - 3y^2 - x^2]

Meanwhile the answer in my textbook is saying:

y' = -(2xy) / [1/(1+y^2) + 3y^2 + x^2]

Not sure what is going wrong!

 

[tkhunny]

I think I can tell you what is going wrong.

1) You have too much faith in the answers in they book. They are created by humans. They are published by humans. Errors are possible.
2) You believe that something is wrong when you have done the work perfectly. That's just wrong.

Go forth and tackle the next problem, knowing you took this one down.

 

[swjafar]

Thank you

The response of a champion.