Let 
Determine all local critical points. Are the local extrema also global extrema?
Definitions:
Stator Poles
Components of an electric machine, such as a motor or generator, that are stationary and create a magnetic field which interacts with the rotor to induce motion or generate electricity.
Rotor Rotation Speed
The speed at which the rotor of a mechanical device, such as an electric generator or motor, spins.
Electromagnetic Induction
The process by which a voltage or electromotive force is generated in a conductor by varying the magnetic field around the conductor.
Commutator
A device used in electric motors and generators to periodically reverse current direction between the rotor and the external circuit.
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