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:

Linear Perspective

A system of creating an illusion of depth on a flat surface by converging parallel lines at a single point on the horizon.

Retinal Disparity

A binocular cue for perceiving depth based on the differences in the images seen by each eye because of their different perspectives, enabling three-dimensional perception.

Interposition

A visual cue used to perceive depth, where one object partially blocks the view of another, indicating that the blocking object is closer to the observer.

Interposition

A visual cue that allows us to perceive the depth by understanding that if one object partly blocks another, the blocking object is closer to the observer.