victim of the chain rule..

[legacyofpiracy]

Alright so we did a bit of a review of the previous chapter and I seem to have forgotten much of everthing i ever learned :roll:

I can't for the life of me find out they turned

(2y^3)+(6x^2)y-(12x^2)+6y=1

into

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

 

[tkhunny]

Don't be afraid. Just dive in. One piece at a time.

(2y^3) ==> 6*y<sup>2</sup?*(dy/dx)
(6x^2)y ==> 6*x²*(dy/dx) + y*(12*x)
-(12x^2) ==> -24*x
6y ==> 6*(dy/dx)
1 ==> 0

Put it all together and solve for dy/dx.