I am learning calculus 1 on my own. Currently, I am studying implicit differentiation. I am also reviewing a few topics from precalculus. I have several questions to post.

For the first question, I need to find the second derivative. The answer is (3x/4y). I found y' to be 3x^2/(2y). I know the quotient rule is needed to find the second derivative. Look at the picture below. How do I find the second derivative via quotient rule?