3 2 6 Consider the function f(x,y,z) = e xyz -6, the point P(0, – 3,1), and the unit vector u = 7' 7'7 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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