- #1

QuarkCharmer

- 1,051

- 3

## Homework Statement

Use implicit differentiation to find dy/dx

[tex]2x^3+x^2y-xy^3 = 2[/tex]

## Homework Equations

Chain Rule et al.

## The Attempt at a Solution

My questions is this. When deriving something like xy^3, apply the product rule to get

[tex]1y^3 + x\frac{d}{dx}y^3[/tex]

I am confused on differentiating y^3. Is it

[tex]3y^2y'[/tex]

??

Making the solution to the mentioned equation:

[tex]y' = \frac{6x^2+2xy-y^3}{3xy^2-x^2}[/tex]