Final answer:
The patient's symptoms suggest frontotemporal dementia due to the presence of memory loss, apathy, and specifically, sexually explicit speech, which is more characteristic of this type of dementia compared to Alzheimer's disease or vascular dementia.
Step-by-step explanation:
The 78-year-old female presenting with memory loss, apathy, and sexually explicit speech is likely suffering from c. Frontotemporal dementia. While both Alzheimer's disease and frontotemporal dementia are forms of dementia and share symptoms such as memory loss and personality changes, the presence of socially inappropriate behavior, such as sexually explicit speech, is more characteristic of frontotemporal dementia.
This type of dementia also presents with symptoms including disruptive memory loss, difficulty with planning and executing tasks, and changes in behavior and personality.