Question

determine the direction in which the rate of change of scalar field will be maximum at point 1,1,2. what is the magnitude of this maximum rate of change?​

Answer 1

Answer:

◦ the direction of maximum rate of increase is that having θ = 0. So to get maximum rate of increase per unit distance, as you leave (a, b), you should move in the same direction as the gradient ∇f(a, b). Then the rate of increase per unit distance is |∇f(a, b)|.