Find the Derivative of the Function $y=(3 x+1)^{9}\left(x^{4}-6\right)^{3}$ A) $y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+12 x(3 x+1)^{9}\left(x^{4}-6\right)^{2}$

question 43

Multiple Choice

Find the derivative of the function. $y=(3 x+1) ^{9}\left(x^{4}-6\right) ^{3}$

• A) \(y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+12 x(3 x+1)^{9}\left(x^{4}-6\right)^{2}\)
• B) \(y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+(3 x+1)^{9}\left(x^{4}-6\right)^{2}\)
• C) \(y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+12 x^{3}(3 x+1)^{9}\left(x^{4}-6\right)^{2}\)
• D) \(y^{\prime}=(12 x+27)(3 x+1)^{9}\left(x^{4}-6\right)^{3}\)
• E) \(y^{\prime}=(x+1)^{8}\left(x^{4}-6\right)^{3}+12 x(3 x+1)^{9}\left(x^{3}-6\right)^{2}\)

Analyze the influence of social context on persuasion and belief formation.

Grasp the relationship between self-perception and self-knowledge.

Distinguish between schemas and stereotypes and their impact on social perception.

Explore the concept of self-fulfilling prophecy and its consequences on behavior.

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Definitions:

Leadership Theories

The study and conceptualization of various styles, approaches, and practices of guiding and influencing others within an organization.

Leader and Employee

Describes the dynamic and relationship between someone in a position of authority or guidance and those they lead or manage in an organizational setting.

Leader-Member Exchange Theory

A theory suggesting that leaders form unique individual relationships with each member of their team, which can affect the team's dynamics and performance.

Relationship

The way in which two or more concepts, objects, or people are connected, or the state of being connected.