Implicit differentiation

Question 1

Using implicit differentiation, how do you differentiate y?

Answer 1

dy/dx

Question 2

What does dy/dx equal at stationary points?

Answer 2

at stationary points, dy/dx=0

Question 3

How would you differentiate x^2 + y = Sin y ?

Answer 3

2x + dy/dx = Cos y (dy/dx)

dy/dx - Cos y (dy/dx) = -2x

dy/dx = -2x / 1 - Cos y