The paper investigates some aspects of the behavior of homogeneous functions. After determining the degree of homogeneity of partial derivatives of a homogeneous function, it is determined their general form in the case of integer degree of homogeneity and they are defined in 0. It also...

In this paper, we will determine the conditions where a level hypersurface (curve) will preserve the character of the original function. The applications are in the theory of the utility and in the theory of production functions.