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:

Transformational Equivalence

The ability to recognize that an object or problem can be represented in different ways while retaining its core properties or meaning.

Empirical Evidence

Information acquired by observation or experimentation that serves as the basis for knowledge or justification.

Mental Images

Visual representations in the mind of an object or scene which are not currently being sensed but recalled or imagined.

Structural Equivalence

A concept in social network analysis indicating that individuals have similar relationships to others in the network, although they may not be directly connected.