Final answer:
To find ∂X / ∂W, we need to differentiate the function X with respect to W. Let W = Cosz - Cos4xcos4y + Sin4xsin4y and Z = 4x + 4y. Then, we can find ∂X / ∂W by finding the derivatives of X with respect to Z and W, and multiplying them together.
Step-by-step explanation:
To find ∂X / ∂W, we need to differentiate the function X with respect to W.
Let W = Cosz - Cos4xcos4y + Sin4xsin4y and Z = 4x + 4y.
To differentiate X with respect to W, we need to find the derivative of X with respect to Z and then multiply it by the derivative of Z with respect to W.
Therefore, ∂X / ∂W = (∂X / ∂Z) * (∂Z / ∂W).
After finding these partial derivatives, you can substitute the values of X and Z in the respective derivatives to find ∂X / ∂W.