Find the Function with the Given Derivative Whose Graph Passes $$g ^ { \prime } ( x ) = \frac { 4 } { x ^ { 2 } } + 6 x , P ( - 2,5 )$$

question 58

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $$g ^ { \prime } ( x ) = \frac { 4 } { x ^ { 2 } } + 6 x , P ( - 2,5 )$$

• A) \(g ( x ) = - 4 x ^ { - 1 } + 3 x ^ { 2 }\)
• B) \(g ( x ) = - 4 x ^ { - 1 } + 3 x ^ { 2 } - 9\)
• C) \(g ( x ) = 4 x ^ { 2 } + 3 x ^ { 2 } - 9\)
• D) \(g ( x ) = 4 x ^ { - 2 } + 6 x - 9\)

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Definitions:

Reinforcement Schedules

The strategy and timing used in operant conditioning to administer rewards or punishments to encourage or discourage a behavior.

Shaping Behavior

The process of guiding or directing behaviors by reinforcing successive approximations towards a desired response or action.

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A systematic way of addressing a problem or question through specified procedures or techniques within research or analysis.

Physiological Measurements

Objective methods of assessing physical or biological variables in the human body, often used in medical and psychological research.