Section 14.5: Problem 5 ('I point) Find the directions in which f increases and decreases most rapidly at point P. Then find the derivatives of f in these directions. f(w, y) : 3mg + 5mg + 73,2, P : (5, 3) Direction of fastest increase is ::= Direction of fastest decrease is Derivative in the direction of fastest increase is ::= Derivative in the direction of fastest decrease is ::= f(-T!y) : 3$2y+ 64$!) 5111(9) a P :(_310) Direction of fastest increase is ::= Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is ::= Section 14.5: Problem 6 (1 point) Find the directions in which f increases and decreases most rapidly at point P. Then find the derivatives of f in these directions. f(:1:,y,z) : 73:6\" + 822, P : (2, 7,7) Direction of fastest increase is =:: Direction of fastest decrease is Derivative in the direction of fastest increase is ::: Derivative in the direction of fastest decrease is a: f(m,y,2) : 111(222 +312 + 9) +8y+ z, P : (5, 5, 7) Direction of fastest increase is =:: Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is :=