$\text { Find the derivative of the function } f ( x ) = 9 \arcsin \left( 6 x ^ { 2 } + 19 x - 9 \right)$

question 112

Multiple Choice

$\text { Find the derivative of the function } f ( x ) = 9 \arcsin \left( 6 x ^ { 2 } + 19 x - 9 \right)$

• A)\(f ^ { t } ( x ) = \frac { 9 } { 1 + \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } }\)
• B)\(f ^ { t } ( x ) = \frac { 9 ( 12 x + 19 ) } { 1 + \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } }\)
• C)\(f ^ { t } ( x ) = \frac { 9 ( 12 x + 19 ) } { \sqrt { 1 - \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } } }\)
• D)\(f ^ { t} ( x ) = \frac { 9 } { \sqrt { 1 - \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } } }\)
• E)\(f ^ { t } ( x ) = \frac { 9 ( 12 x + 19 ) } { \sqrt { 1 + \left( 6 x ^ { 2 } + 19 x - 9 \right) ^ { 2 } } }\)

Understand theories related to group behavior, including social comparison theory, persuasive arguments theory, and terror management theory.

Examine social loafing and its impact on group productivity.

Distinguish between various theories of social psychology relevant to group dynamics, such as social facilitation theory and social identity theory.

Recognize the importance of group entitativity and cohesion in predicting group behavior and decision-making.

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Definitions:

Pseudo-Patients

Individuals who pretend to have a mental illness for the purpose of studying the treatment environment and processes in psychiatric settings.

Social Learning Theory

A theory of learning and social behavior which proposes that new behaviors can be acquired by observing and imitating others.

Therapeutic Approach

A method or strategy employed in counseling or therapy to treat psychological disorders and improve mental health through specific techniques and interventions.

Clinical Psychologist

A professional in psychology who diagnoses and treats mental, emotional, and behavioral disorders through therapeutic means.