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

question 70

Multiple Choice

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

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

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Definitions:

Sensorimotor Stage

In Piaget’s theory, the stage (from birth to nearly 2 years of age) during which infants know the world mostly in terms of their sensory impressions and motor activities.

Piaget

A Swiss psychologist renowned for his pioneering work in child development and his theory of cognitive development which describes how children construct a mental model of the world.

Concrete Operational

Pertains to a stage in Piaget's theory of cognitive development, where children gain the ability to think logically about concrete events.

Formal Operational

The stage of cognitive development in which people start to think logically about abstract concepts.