How do you represent a three-dimensional Slope of x y z?

Answer 1

As Anand Mehta said, you could use partial derivatives. Or differentials, which is quite similar. It works like this: assuming that you have a surface area, "z", defined in terms of "x" and "y". At some specific point, the slope might be, for example:z = 0.5 delta x + 0.3 delta y

This means that for any increment (delta) in x, by a certain amount, z would increase by 0.5 times that amount; similarly, for any delta y (increment in y), z would increase by 0.3 times that amount.

Answer 2

There is no simple way: you could represent the slope in terms of partial derivatives.