Find the derivative of the function. 
Definitions:
Foster Care System
A government or private system designed to temporarily provide care for children who are unable to live with their biological families, often due to abuse or neglect.
Reunited
Brought back together after a period of separation.
Authoritarian Parents
Parents who enforce strict discipline and high expectations through a regulatory and controlling approach.
Rules
Prescribed guidelines or directives intended to regulate behavior or processes in various contexts, such as in games, societies, or organizations.
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