Find when x and y are connected by the relation given

We have,

Use chain rule and quotient rule to get:

Chain Rule

f(x) = g(h(x))

f’(x) = g’(h(x))h’(x)

By Quotient Rule

On differentiating both the sides with respect to x, we get

By product rule:

Multiplying by y² to both the sides, we get