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f(x, y, z) = xe4yz, P(1, 0, 3), u = <2/3, -1/3, 2/3> (a) Find the...

f(x, y, z) = xe4yz, P(1, 0, 3), u = <2/3, -1/3, 2/3>

(a) Find the gradient of f.
∇f(x, y, z) = <   ,   ,   >

(b) Evaluate the gradient at the point P.
∇f(1, 0, 3) = <   ,   ,   >

(c) Find the rate of change of f at P in the direction of the vector u.
Duf(1, 0, 3) =

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