One of the functions below is the derivative function of the other. Identify each of them. 
Definitions:
Alzheimer's Patients
Individuals suffering from Alzheimer's Disease, a progressive neurodegenerative disorder characterized by cognitive decline and memory loss.
Grieve
To experience intense sorrow, especially due to someone's death.
Loved One
A person towards whom one feels deep affection, including family members, partners, and close friends.
HIV Infection
The virus responsible for AIDS, attacking the immune system and leading to severe immunodeficiency if not treated properly.
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