Question

How do you implicitly differentiate `-1=y^3-x^2y+y`?

Answer 1

`(dy)/dx= (2xy)/(1-x^2 +3y^2)`

Explanation:

Differentiate the equation term by term w.r.t x
`0=3y^2 (dy)/dx - x^2 (dy)/dx -2xy +dy/dx`

`(dy)/dx= (2xy)/(1-x^2 +3y^2)`