Find Dy/dt $$y = ( 1 + \sin 9 t ) ^ { - 5 }$$

question 82

Multiple Choice

Find dy/dt.
- $$y = ( 1 + \sin 9 t ) ^ { - 5 }$$

• A) \(- 45 ( \cos 9 t ) ^ { - 6 }\)
• B) \(- 5 ( 1 + \sin 9 t ) ^ { - 6 } \cos 9 t\)
• C) \(- 45 ( 1 + \sin 9 t ) ^ { - 6 } \cos 9 t\)
• D) \(- 5 ( 1 + \sin 9 t ) ^ { - 6 }\)

---

Definitions:

Self-interest

The focus on one's own benefit or advantage, especially when pursued without regard for others.

Partnership Interest

The share or portion of the rights, profits, and losses in a partnership business allocated to a particular partner.

Management of Business

Involves overseeing the administration and strategic planning of a company or organization to ensure goals and objectives are achieved.

Essential Elements

The necessary components or factors required for a legal claim, contract, or theory to be valid or actionable.