If $g ( x ) = \sqrt { 2 - 3 x }$

question 35

Multiple Choice

If $g ( x ) = \sqrt { 2 - 3 x }$ , use the definition of derivative to find $g ^ { \prime } ( x )$

• A) \(g ^ { \prime } ( x ) = - \frac { 1 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }\)
• B) \(g ^ { \prime } ( x ) = - ( 2 - 3 x ) ^ { - 1 / 2 }\)
• C)
• \(g ^ { \prime } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { 1 / 2 }\)
• D)
• \(g ^ { \prime } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }\)
• E) None of these

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Definitions:

Consciousness

The quality or state of awareness, being aware of an external object or something within oneself, encompassing thoughts, feelings, and the environment.

Melatonin

A hormone produced by the pineal gland that regulates sleep-wake cycles and is involved in various biological rhythms.

Pineal Gland

The endocrine gland that secretes the hormone that controls the sleep/wakefulness cycle.

Circadian Rhythms

The natural, internal processes that regulate the sleep-wake cycle and repeat roughly every 24 hours.