Differentiate $f ( x ) = \sin \left( 3 \theta ^ { 6 } + 1 \right)$

question 168

Multiple Choice

Differentiate $f ( x ) = \sin \left( 3 \theta ^ { 6 } + 1 \right)$ .

• A) \(\cos \left( 3 \theta ^ { 6 } + 1 \right)\)
• B) \(18 \theta ^ { 5 } \cos \left( 3 \theta ^ { 6 } + 1 \right)\)
• C) \(3 ( \ln 6 ) \theta ^ { 6 } \cos \left( 3 \theta ^ { 6 } + 1 \right)\)
• D) \(- 18 \theta ^ { 5 } \cos \left( 3 \theta ^ { 6 } + 1 \right)\)

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Definitions:

Sociology

The study of the development, structure, and functioning of human society, including the examination of social problems.

Emile Durkheim

A French sociologist, one of the founding figures in the field of sociology, known for his study of social structures and the functional relationships between parts of society.

Values

Fundamental beliefs or principles that guide behaviors and decisions in individuals and societies.

Macrostructures

Overarching patterns of social relations that lie outside and above one’s circle of intimates and acquaintances. Macrostructures include classes, bureaucracies, and power systems such as patriarchy.