Calculate $y ^ { \prime }$ $$y = \frac { e ^ { x } } { x ^ { 3 } }$$

question 41

Multiple Choice

Calculate $y ^ { \prime }$ .
$$y = \frac { e ^ { x } } { x ^ { 3 } }$$
Select the correct answer.

• A)
• \(y ^ { t } = e ^ { x } \left( \frac { x - 1 } { x ^ { 5 } } \right)\)
• B) \(y ^ { t } = e ^ { x } \left( \frac { x + 3 } { x ^ { 4 } } \right)\)
• C) \(y ^ { t } = \frac { e ^ { x } } { 3 x }\)
• D) \(y ^ { t } = e ^ { x } \left( \frac { x - 3 } { x ^ { 4 } } \right)\)
• E)
• \(y ^ { t } = e ^ { x } \left( \frac { x - 3 } { 3 x } \right)\)

Identify effective management styles that balance task and social leadership for optimal team performance.

Understand the predictors of job performance and the reliability of various evaluation methods.

Recognize the importance of the flow state in job satisfaction and employee motivation.

Understand different leadership styles, their characteristics, and implications in workplace dynamics.

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Definitions:

Salient External Factor

Refers to a noticeable, external element or condition that significantly influences individuals' thoughts, feelings, or behaviors.

Attitudes

A psychological tendency expressed by evaluating a particular entity with some degree of favor or disfavor.

Expectancy-Value Theory

The theory that effort is based on the value or desirability of the goal, multiplied by the person’s assessment of how likely it is that she will be able to attain the goal.

Desirability

The quality of being wanted or wished for as appealing, attractive, or necessary.