Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in those directions. f(x,y,z) = In (xy) + 3 In (yz) + 2 In (xz), Po(1, 1,1) In which direction does the function increase most rapidly? u = ( ) i + (DD )+ (Q)k (Type exact answers, using radicals as needed.) In which direction does the function decrease most rapidly? - U = (Type exact answers, using radicals as needed.) What is the value of the derivative in the direction of u? ( Duf) Po (Type an exact answer, using radicals as needed.) What is the value of the derivative in the direction of - u? (D -uf) Po = (Type an exact answer, using radicals as needed.)