Find the Slope of the Tangent to the Curve $y = \sin ^ { 2 } x + \sin 2 x$

question 240

Multiple Choice

Find the slope of the tangent to the curve $y = \sin ^ { 2 } x + \sin 2 x$ when $x = \frac { \pi } { 4 }$ .

• A) \(- \frac { 1 } { 4 }\)
• B) \(- \frac { \sqrt { 2 } } { 2 }\)
• C) \(- \frac { 1 } { 2 }\)
• D)0
• E) \(\frac { 1 } { 2 }\)
• F) \(\frac { \sqrt { 2 } } { 2 }\)
• G)1
• H) \(\frac { 3 } { 2 }\)

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Definitions:

Cultural Genocide

The systematic destruction of a group's culture, including language, traditions, and heritage, often as part of an oppressive regime.

First Generation

Often refers to the first members of a family to migrate to a new country, or the first to be born in that country to immigrant parents.

Second Generation

Individuals born in a country to immigrant parents, often facing unique cultural, social, and identity challenges related to their family's country of origin and the country of their birth.

Criminalization

The process by which behaviors and individuals are transformed into crime and criminals by making such behaviors illegal and subject to penal sanctions.