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) \(\frac { - 24 } { ( 8 x + 9 ) \sqrt { ( 8 x + 9 ) ^ { 2 } - 1 } }\)

---

Definitions:

Explicit Comparison

A direct and clear contrast or assessment between two or more items, concepts, or phenomena.

Emotional Intelligence

The ability to perceive, understand, manage, and use emotions effectively in oneself and in relation to others.

Accurately Perceive Emotions

The ability to correctly identify and understand one's own emotions as well as those of others.

Analyze Emotions

The process of examining and understanding one's own feelings or the emotional content of a situation.