Question: Consider the following functions f, points P, and unit vectors u. a. Compute the gradient of f and evaluate it at P. b. Find the

Consider the following functions f, points P, and unit vectors u.


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.f(x, y, z) = 4 - x2 + 3y2 + 2 P(0,

f(x, y, z) = 4 - x2 + 3y2 + 2 P(0, 2, -1); ( 0, 1 V2 1 V2.

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