Gradient Scalar Potential Function
I am taking a fluid mechanics course. There was a problem given dealing in 2 dimesional, incompressible, irrotational flow. It gives the gradient of the scalar potential function (Φ) is Φ=(2x,y) how do I find the greatest increase in Φ, maximum rate of increase, the velocity vector, and direction and magnitude of the flow at point (1,1).
I will be thankful to get any help on any part of the problem. My prof doesn't teach what he assigns and the book doesn't cover it very well.