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

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

The magnetic field lines

A diamagnetic material in a magnetic field moves