**Help please Im having problem with these and Ive tried everything!?: Consider the curve defined by 2y^3+6x^2y-12x^2+6y=1**

a) Show that dy/dx = (4x-2xy)/x^2+y^2+1

**Answer:**

**1.** Differentiate both sides with respect to x, applying the product rule where appropriate:

6y^2 dy/dx + 12xy + 6x^2 dy/dx - 24x + 6dy/dx = 0

**2.** Combine terms with dy/dx in them, and move all other terms to the right hand side.

(6y^2 + 6x^2 + 6)dy/dx = 24x - 12xy. Now simplify.

dy/dx = 6(4x - 2xy)/6(y^2 + x^2 + 1

**Answer:** dy/dx = (4x - 2xy)/x^2 + y^2 + 1.