(Solved): 8. Find the partial derivatives \( z_{x}(x, y), z_{y}(x, y) \), and \( z_{x y}(x, y) \), where \( z ...
8. Find the partial derivatives \( z_{x}(x, y), z_{y}(x, y) \), and \( z_{x y}(x, y) \), where \( z(x, y) \) is defined by \( x^{2} z-x y^{2}=\sin z \).