Consider the following. f(x, y, z) = x²yz - xyz³, P(2, -1, 1), u = (0,2, -3) (a) Find the gradient of f. Vf(x, y, z) = (b) Evaluate the gradient at the point P. Vf(2, -1, 1) = (c) Find the rate of change of f at P in the direction of the vector u. Duf(2, −1, 1) =

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