Use a Graphing Utility to Show That Does Not

question 59

Essay

Use a graphing utility to show that does not have a derivative at x = 0.

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Definitions:

Restless Legs Syndrome

A neurologic disorder characterized by an uncontrollable urge to move the legs, usually due to an uncomfortable sensation; typically occurs during periods of inactivity or at night.

Obstructive Sleep Apnea (OSA)

A disorder characterized by repetitive episodes of blocked breathing during sleep, often resulting in reduced oxygen levels.

Chronic Obstructive Pulmonary Disease (COPD)

A chronic inflammatory lung disease that causes obstructed airflow from the lungs, often resulting from long-term exposure to irritating gases or particulate matter.

Parasomnias

A category of sleep disorders that involve abnormal movements, behaviors, emotions, perceptions, or dreams that occur while falling asleep, sleeping, or waking up.