For function (f(x, y, z)=x y z), find (frac{partial f}{partial x}, frac{partial f}{partial y}, frac{partial f}{partial z})

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For function \(f(x, y, z)=x y z\), find \(\frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z}\) and \(d f\).

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