Use Implicit Differentiation to Find Dy/dx $\ln x y-y^{3}=9$ A) $\frac{x}{y\left(3 y^{3}-1\right)}$

question 45

Multiple Choice

Use implicit differentiation to find dy/dx. $\ln x y-y^{3}=9$

• A) \(\frac{x}{y\left(3 y^{3}-1\right)}\)
• B) \(\frac{y\left(3 y^{3}-1\right)}{x}\)
• C) \(\frac{y}{x\left(3 y^{3}-1\right)}\)
• D) \(\frac{x\left(3 y^{3}-1\right)}{y}\)

---

Definitions:

Open-Ended Questions

Questions without simple, predetermined answers; used to solicit opinions, insights, and information.

Request Message

A communication that asks for specific information, action, or service from another party.

Least Important Question

A query that holds the lowest priority or relevance in a given discussion or analysis.

Courteous Close

A polite and respectful conclusion to a communication, often used in formal letters or emails.