Section 14.5: Problem 5 (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(x, y) = 9x2 + 8xy+ yz, P = (7,4) Direction of fastest increase is E! Direction of fastest decrease is E! Derivative in the direction of fastest increase is E! Derivative in the direction of fastest decrease is E! f(x, y) = 5ny + em sin(y), P = (5,0) Direction of fastest increase is E! Direction of fastest decrease is E! Derivative in the direction of fastest increase is E! Derivative in the direction of fastest decrease is === Section 14.5: Problem 6 Previous Problem Problem List Next Problem (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(x, y, z) = 7xe + 4z, P = (2, -3, -9) 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(x, y, z) = In (x2 + y + 9) + 8y+7z, P=(6,-7, -6) 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