Find an Equation of the Tangent Line to the Graph $x ^ { 3 }$

question 2

Multiple Choice

Find an equation of the tangent line to the graph of y = $x ^ { 3 }$ ln(-2x) at x = -1.

• A) y = (x + ln 2) - 1
• B) y = (1 + 3 ln 2)(x + 1) - ln 2
• C) y - 1 = 4(x - ln 2)
• D) y + ln 2 = 4(x - 1)

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Definitions:

Benzodiazepines

A class of drugs primarily used for treating anxiety, but also used in the treatment of seizures, insomnia, and alcohol withdrawal, known for their sedative effects.

Nonbenzodiazepines

A class of psychoactive drugs that act similarly to benzodiazepines on the central nervous system but tend to have fewer side effects, used primarily as sleep aids.

Daytime Sleepiness

A condition characterized by an increased tendency to fall asleep during the day, often related to inadequate or disturbed nighttime sleep.

Sleep Cycle

The progression through various stages of sleep, including REM and non-REM phases, that occurs several times throughout the night.