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Consider the following function f, point P, and unit vector u. a. Compute the gradient off and evaluate it'at P. b. Find the unit vector in the direction of maximum increase offat 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. 1 1 fx, ,2 =x + z+xz+3;P8,-8,5; 0,,- (y) y y ( ) l a. Vt(x,y.z) = ENDED l l we. -8,5)= (DUDE) \\ b. The unit vector in the direction of maximum increaose off at P is EDD. i (Type exact answers.) l _ l c. The rate of change of the function in the direction of maximum increase at P is E]. (Type an exact answer.) d. The directional derivative at P in the direction of the given vector is E. (Type an exact answer.) Find the four second partial derivatives of the following function. f(x;y) = y sin 2x . . . Txx fxy = fyx =