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.

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ƒ(x, y, z) = x² + 2y² + 4z² + 10; P(1,0,4); (0,2)