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