Consider the function f(x,y,z)=2+3xyz, the point P(1,1,−1), and the unit vector u=⟨31,31,−31⟩. a. Compute the grad
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Consider the function f(x,y,z)=2+3xyz, the point P(1,1,−1), and the unit vector u=⟨31,31,−31⟩. a. Compute the grad
Consider the function f(x,y,z)=2+3xyz, the point P(1,1,−1), and the unit vector u=⟨31,31,−31⟩. a. Compute the gradient of f and evaluate it at P. b. Find the unit vector in the direction of maximum increase of f at P. c. Find the rate of change of the function in the direction of maximum increase at P. d. Find the directional derivative at P in the direction of the given vector.
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