Find the derivative of the following function using the limiting process. 
Definitions:
Health Expectancy
An estimate of how many years a person can expect to live in a state of good health by taking into account years lived in less than full health due to disease or injury.
Well-Years
A measure of the quality and length of life, quantifying the number of years lived in good health.
Life Expectancy
The average period that a person may expect to live, often used as a measure of the health and well-being of populations.
Disability-Free
The state of being without any physical or mental limitations that inhibit daily activities.
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