Final answer:
The partial derivatives of the function x-4y are ∂/∂x = 1 and ∂/∂y = -4.
Step-by-step explanation:
Partial Derivatives of the Function x-4y
The partial derivatives of the function x-4y can be found by taking the derivative of each term with respect to the corresponding variable. For the partial derivative with respect to x, we treat y as a constant and differentiate x, resulting in 1. For the partial derivative with respect to y, we treat x as a constant and differentiate y, resulting in -4. Therefore, the partial derivatives of the function x-4y are ∂/∂x = 1 and ∂/∂y = -4.