This element of delegation is derived from delegated authority.

The correct answer is option (4)- Responsibility.

Responsibility is the element of delegation that is derived from delegated authority.

Responsibility is the obligation of a subordinate to properly perform the assigned duty. It arises from a superiors subordinate relationship because the subordinate is bound to perform the duty assigned to him by his superior. Thus, responsibility flows upwards i.e., a subordinate will always be responsible to his Superior. It arises from delegated authority.