Please help solve

Consider the following function f, point P, and unit vector 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) = xy + yz+xz+7; P(2, - 2,3); 0,- 12' VZ a. Vf(x,y,z) = Vf(2, - 2,3) = b. The unit vector in the direction of maximum increase of f at P is 00.0 (Type exact answers.) c. The rate of change of the function in the direction of maximum increase at P is (Type an exact answer.) d. The directional derivative at P in the direction of the given vector is (Type an exact answer.)