help with differentiation of implicit function

[oilrip]

Hi.. can anyone help me to solve the following question.

find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.

3x²/(y²+1) + y = 3x + 1


Thanks in advance..

 

[DrPhil]

Hi.. can anyone help me to solve the following question.

find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.

3x²/(y²+1) + y = 3x + 1


Thanks in advance..

Since (y^2 + 1) is never zero, it is valid to multiply all terms by it:

\(\displaystyle 3x^2 + y (y^2 - 1) = 3x (y^2 - 1) + 1(y^2 - 1)\)

Does that help? If you need more hints, Show us your work! (So we know where you are getting stuck.)