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:

Trait Perspective

A psychological viewpoint that emphasizes the description and measurement of consistent personality characteristics, or traits, as the primary means of understanding individual differences.

Other Perspectives

Other perspectives involve considering alternative viewpoints or approaches to understanding concepts, problems, or situations.

Temperament

The behavioral characteristics that are fairly well established at birth, such as “easy,” “difficult,” and “slow to warm up”; the enduring characteristics with which each person is born.

Personality

The combination of characteristics or qualities that form an individual's distinctive character, influencing their patterns of thought, feelings, and behaviors.