If the permeability of a ferromagnetic material independent of the magnetic field? If not is it more for lower or higher fields?

Answer the following questions: Is the permeability of a ferromagnetic material independent of the magnetic field? If not, is it more for lower or higher fields?

Is the permeability of ferromagnetic material independent of the magnetic field? If not, is it more for lower or highest fields?

The magnetic field lines

A diamagnetic material in a magnetic field moves