First, we need to find the partial derivatives of w with respect to x, Y, and z:
$\frac{\partial w}{\partial x} = Y \cos(z)$
$\frac{\partial w}{\partial Y} = x \cos(z)$
$\frac{\partial w}{\partial z} = -xY \sin(z)$
Now, we need to find the derivatives of x, Y,
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