Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + ZX, Po( - 1,1, - 3), A= 61+ 9j - 2k (DAD) (-1,1, -3) E (Simplify your answer. )Is there a direction u in which the rate of change of f(x,y) = x2 Sxy + 4y2 at P{1,2) equals 14? Give reasons for your answer. Choose the correct answer below. 0 A. No. The given rate of change is larger than the maximum rate of change. 0 B. Yes. The given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change. 0 c. No. The given rate of change is smaller than the minimum rate of change. Find the equation for the tangent plane and the normal line at the point Po(2,2,3) on the surface x+ 4y 2 + 32 = 47. 2 Using a coefficient of 2 for x, the equation for the tangent plane is Find the equations for the normal line. Let x = 2 + 4t. X= y = Z= (Type expressions using t as the variable.)