Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in these directions. fix,y,z) = (xly) - yz. P0(1, - 1,1) m The direction in which the given functiOn f(x,y.z) = (x/y) yz increases most rapidly at P0 (1, - 1,1) is metastas- (Type exact answers, using radicals as needed.) The direction in which the given function f(x,y.z) = '(x/y) - yz decreases most rapidly at PM 1 . - 1, 1) is -u=l:li+(l:Di+(D)k- (Type exact answers, using radicals as needed.) The derivative of the given function f(x,y,z) = (:0r y) - yz in the direction in which the function increases most rapidly at ' PD(1,-1,1)is (our) (1.-1,1)=]:l' (Type an exact answer, using radicals as needed.) The derivative of the given function f(x.y,z) = (x/y) - yz in the direction in which the function decreases most rapidly at P0(1.-1,1)is (D_uf)(1,1,1)=D- (Type an exact answer, using radicals as needed.)