`(x^2) + 4xy - (y^3) = 6`

differentiating

`2x + 4y + 4x(dy/dx) - 3(y^2)*(dy/dx) = 0`

`or, 2(x+2y) = (dy/dx)*[3(y^2) - 4x]`

`or, dy/dx = [2(x+2y)]/[3(y^2)-4x]`

``

`(x^2) + 4xy - (y^3) = 6`

differentiating

`2x + 4y + 4x(dy/dx) - 3(y^2)*(dy/dx) = 0`

`or, 2(x+2y) = (dy/dx)*[3(y^2) - 4x]`

`or, dy/dx = [2(x+2y)]/[3(y^2)-4x]`

``