Question

What is the anti gradient of f(x,y,z,)= (z,y,x)

Answer 1

@amistre64

Answer 2

@ganeshie8

Answer 3

anti gradient?

well assuming that this is the gradient then we are looking for a function such that:

fx = z: Fx = xz + g(y) + h(z)
fy = y: Fy = 1/2 y^2 + f(x) + g(y)
fz = x: Fz = f(x) + g(y) + xz

Answer 4

seems to me that xz + 1/2 y^2 + K fits the bill

fx = z
fy = y
fz = x