Question

If sin(−1x − 3y + z) = 0, find the first partial derivatives [(∂z)/(∂x)] and [(∂z)/(∂y)] at the point (0, 0, 0).

A. [(∂z)/(∂x)](0, 0, 0) = ???

B. [(∂z)/(∂y)](0, 0, 0) = ???