Thread: Gradient for the max function

Suppose . What is the gradient

Any help appreciated.

I don't believe that is a differentiable function.

THanks for ur reply. Can u provide a brief explanation for the non-differentiability of this function?? My major is electrical engineering, and background in analysis is not good.

If you were to graph max(x,y) on, say , you would see sharp corners along the lines y= x and y= -x. Generally speaking, only "smooth" functions have derivatives.