Use Logarithmic Differentiation to Find the Derivative of Y with Respect

question 92

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = 4 x ^ { x ^ { 2 } }$$

• A) \(4 x ^ { x ^ { 2 } + 1 } ( 2 \ln 4 x )\)
• B) \(x ( 2 \ln 4 x + 1 )\)
• C) \(4 x ^ { x ^ { 2 } + 1 } ( 2 \ln 4 x + 1 )\)
• D) \(x ^ { x ^ { 2 } + 1 } \ln 4 x\)

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Definitions:

Internal Attributions

The process of assigning the cause of behavior to internal characteristics, traits, or abilities of the individual.

External Attributions

The process of attributing the cause of one's own or others' behavior to external factors or situational circumstances.

Individualism

A societal concept that prioritizes individual liberty and autonomy above the interests or management of the group or government.

Dispositional Attributional Bias

The tendency to attribute people's behaviors to their character or personality while underestimating situational influences.