Find the Derivative of Y with Respect to X $$y = - \csc ^ { - 1 } \left( \frac { 8 x + 9 } { 3 } \right)$$

question 134

Multiple Choice

Find the derivative of y with respect to x.
- $$y = - \csc ^ { - 1 } \left( \frac { 8 x + 9 } { 3 } \right)$$

• A) \(\frac { 24 } { \sqrt { ( 8 x + 9 ) ^ { 2 } - 9 } }\)
• B) \(\frac { 24 } { ( 8 x + 9 ) \sqrt { ( 8 x + 9 ) ^ { 2 } - 9 } }\)
• C) \(\frac { - 24 } { 1 + ( 8 x + 9 ) ^ { 2 } }\)
• D) \(\frac { - 24 } { ( 8 x + 9 ) \sqrt { ( 8 x + 9 ) ^ { 2 } - 1 } }\)

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Definitions:

Behavioral Psychology

A field of psychology that focuses on studying and modifying observable behaviors through conditioning and reinforcement.

Gender Identity

A person's internal sense of their own gender, whether male, female, a blend of both, or neither, and how they perceive themselves and what they call themselves.

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The set of societal norms dictating the types of behaviors which are generally considered acceptable, appropriate, or desirable based on one's perceived sex.

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The classification of individuals based on their reproductive organs and structures at birth.