The temperature distribution on metal plate is given by.... 1. The problem statement, all variables and given/known data The temperature distribution on metal plate is given by T(x,y) = 100/x^2+y^2+1 Calculate the direction derivative in the direction of v= <1,1> at the coordinates (3,2) and at coordinate (3,2) in what direction does the increase, and then decrease most rapidly? Give a unit vector 2. Relevant equations 3. The attempt at a solution For the first part of the problem the question asks, where is the plate hottest? I am guessing the plate would be hottest in the center. So, my general idea of this problem is that if we have a disc and then a coordinate plane on the disc, the point 3,2 is on the quadrant 1. The temperature if increasing would point down toward the origin, and then decrease point up, away from the origin. However, i do not know if im right, and even if i am i still really dont understand what the problem wants me to do.