Find the directions in which the function increases and decreases most rapidly at P0. Then nd the derivatives of the function in those directions. f(x,y,z) =3 In (xy) + In {yz} +4 In (H), Po{1:1=1) In which direction does the function increase most rapidly? u=r i+i 1+(Dk (Type exact answers, using radicals as needed.) In which direction does the function decrease most rapidly? -u=(D]i+(D}i+(D]k (Type exact answers, using radicals as needed.) What is the value ofthe derivative in the direction of u? (Dune = 1 (Type an exact answer, using radicals as needed.) What is the value ofthe derivative in the direction of u? (DI\"0'30 =I: (Type an exact answer, using radicals as needed.)