Question: 1 1 Consider the function f(x,y,z) = 3x2 + 2y2 + 22 + 2, the point P(3.0,2), and the unit vector u = (Elli)- a.

1 1 Consider the function f(x,y,z) = 3x2 + 2y2 + 22 + 2, the point P(3.0,2), and the unit vector u = (Elli)- 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. (1. Find the directional derivative at P in the direction of the given vector

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