Find the Derivative $\frac { d } { d \theta } \left( \theta \sin \left( \theta ^ { 2 } \right) \right)$

question 115

Multiple Choice

Find the derivative $\frac { d } { d \theta } \left( \theta \sin \left( \theta ^ { 2 } \right) \right)$ .

• A) \(\sin \left( \theta ^ { 2 } \right) + 2 \theta ^ { 2 } \cos \left( \theta ^ { 2 } \right)\)
• B) \(\sin \left( \theta ^ { 2 } \right) + \theta \cos \left( \theta ^ { 2 } \right)\)
• C) \(2 \theta \sin \left( \theta ^ { 2 } \right) + \theta \left( 2 \theta \cos \left( \theta ^ { 2 } \right) \right)\)
• D) \(2 \theta \cos \left( \theta ^ { 2 } \right)\)

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Definitions:

Time Deprivation

A condition of experiencing less time than is needed to perform one's tasks or activities, often leading to stress or anxiety.

Representative Sample

A segment of the population that precisely represents the characteristics of the whole population.

Population of Interest

A specific group of individuals or entities that a researcher or study aims to understand or draw conclusions about.

Independent Variable

In a study, the variable that the researcher alters to determine its impact on the dependent variable.