Question: f ( x, y, z ) = xe 4 yz , P (3, 0, 1), u = <2/3, -1/3, 2/3> (a) Find the gradient of

f ( x, y, z ) = xe ⁴ yz , P (3, 0, 1), 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 (3, 0, 1) = < , , >

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

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