Please write by hand it would help me understand more easily

14.6 Directional Derivatives and the Gradient Vector 38. The temperature at a point (z, y, z) is given by T (x, y, z) = 200e - 37-92 where T is measured in C and x, y, z in meters. a. Find the rate of change of temperature at the point P (2, -1, 2) in the direction toward the point (3, -3, 3). b. In which direction does the temperature increase fastest at P? c. Find the maximum rate of increase at P. 61. Are there any points on the hyperboloid a? - 32 - 23 = 1 where the tangent plane is parallel to the plane z = x + y? Answer + No