Use Logarithmic Differentiation to Find the Derivative of Y $$y = \sqrt [ 3 ] { \frac { ( 3 x + 1 ) ( x + 4 ) ^ { 2 } } { \left( x ^ { 4 } + 6 \right) ( x + 8 ) } }$$

question 534

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- $$y = \sqrt [ 3 ] { \frac { ( 3 x + 1 ) ( x + 4 ) ^ { 2 } } { \left( x ^ { 4 } + 6 \right) ( x + 8 ) } }$$

• A) \(3 \sqrt [ 3 ] { \frac { ( 3 x + 1 ) ( x + 4 ) ^ { 2 } } { \left( x ^ { 4 } + 6 \right) ( x + 8 ) } } \left( \frac { 3 } { 3 x + 1 } + \frac { 2 } { x + 4 } - \frac { 4 x ^ { 3 } } { x ^ { 4 } + 6 } - \frac { 1 } { x + 8 } \right)\)
• B) \(\frac { 1 } { 3 } \left( \ln ( 3 x + 1 ) + 2 \ln ( x + 4 ) - \ln \left( x ^ { 4 } + 6 \right) - \ln ( x + 8 ) \right)\)
• C) \(\frac { 3 } { 3 x + 1 } + \frac { 2 } { x + 4 } - \frac { 4 x ^ { 3 } } { x ^ { 4 } + 6 } - \frac { 1 } { x + 8 }\)
• D) \(\frac { 1 } { 3 } \sqrt [ 3 ] { \frac { ( 3 x + 1 ) ( x + 4 ) ^ { 2 } } { \left( x ^ { 4 } + 6 \right) ( x + 8 ) } } \left( \frac { 3 } { 3 x + 1 } + \frac { 2 } { x + 4 } - \frac { 4 x ^ { 3 } } { x ^ { 4 } + 6 } - \frac { 1 } { x + 8 } \right)\)

Understand what organizational politics is and how it can affect the workplace.

Recognize the impact of resource allocation ambiguity and complexity on organizational politics.

Identify the main sources and types of power within organizations.

Differentiate between power and influence and recognize how they are manifested in organizational settings.

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Definitions:

Connectives

Parts of speech that connect words, phrases, or clauses, enhancing coherence in text.

Indirect Object-Direct Object Constructions

Grammatical structures in sentences where an action is performed by the subject on two objects, with the indirect object typically receiving the direct object.

Passive Sentences

Sentences where the subject is the recipient of the action rather than the doer, often characterized by the use of forms of the verb "to be" followed by a past participle.

Vocabulary Development

The process of learning and acquiring new words and phrases to communicate effectively in a language.