please finish the following questions thank u

Use the Chain Rule to find the indicated partial derivatives. Z:X4+x2y, x:s+2t7u, y:stu2; 62 62 g 7,7, when5=3,r=5,u=4 65 t (it: Need Help? The temperature at a point (x, y, z) is given by T(x, y, z) = lOOe'XZ' 3V2 ' 922 where T is measured in I'C and X, y, z in meters. (a) Find the rate of change of temperature at the point PM, 1, 5) in the direction towards the point (6, 3, 6). DC/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P. Need Help? Suppose that over a certain region of space the electrical potential V is given by the following equation. V(x, y, z) : 3x2 4xy + xyz (a) Find the rate of change of the potential at PM, 6, 6) in the direction of the vector v : i + j k. (b) In which direction does V change most rapidly at P? (c) What is the maximum rate of change at P