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Consider the following. f(x, y, z) = xe5yz, P(1, 0, 2), u=1/3,-2/3,2/3. (a) Find the gradient...

Consider the following. f(x, y, z) = xe5yz, P(1, 0, 2), u=1/3,-2/3,2/3. (a) Find the gradient of f. ∇f(x, y, z) = (b) Evaluate the gradient at the point P. ∇f(1, 0, 2) = (c) Find the rate of change of f at P in the direction of the vector u. Duf(1, 0, 2) =

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