Find the second derivative of y, by implicit differentiation. x^2+6y^2=6

Question

I know that the first derivative is -x/6y, however when I enter y/x for the second derivative (y") it's incorrect. I need just a little bit of assistance in telling me what's wrong with my answer.

Answer 1

You are correct the first derivative is -x/6y..

Now just differentiate again: [-6y + 6x(dy/dx)]/36y² which, after substitution for the 1st derivative, simplifies a little to -(6y² + x²)/36y³.