Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. f(x,y) = x²+xy+y², Po(-2,3) The direction in which the given function f(x,y) = x² + xy + y² increases most rapidly at Po(-2.3) is u = ☐ i+☐j. (Type exact answers, using radicals as needed.) The direction in which the given function f(x,y) = x² + xy + y² decreases most rapidly at Po(-2,3) is - (Type exact answers, using radicals as needed.) -u= i+ Di. The derivative of the given function f(x,y) = x²+xy+y2 in the direction in which the function increases most rapidly at Po(-2,3) is D _f = ☐ (Type an exact answer, using radicals as needed.) 2 - The derivative of the given function f(x,y) = x²+xy+y² in the direction in which the function decreases most rapidly at P。(−2,3) is D – „f=[ (Type an exact answer, using radicals as needed.)