Use Implicit Differentiation to Find Dy/dx $$x ^ { 3 } + 3 x ^ { 2 } y + y ^ { 3 } = 8$$

question 433

Multiple Choice

Use implicit differentiation to find dy/dx.
- $$x ^ { 3 } + 3 x ^ { 2 } y + y ^ { 3 } = 8$$

• A) \(\frac { x ^ { 2 } + 3 x y } { x ^ { 2 } + y ^ { 2 } }\)
• B) \(- \frac { x ^ { 2 } + 2 x y } { x ^ { 2 } + y ^ { 2 } }\)
• C) \(\frac { x ^ { 2 } + 2 x y } { x ^ { 2 } + y ^ { 2 } }\)
• D) \(- \frac { x ^ { 2 } + 3 x y } { x ^ { 2 } + y ^ { 2 } }\)

---

Definitions:

Susan Bordo

An American philosopher known for her works in feminist, cultural and body studies, particularly exploring the cultural representations of the body.

Genevieve Lloyd

A philosopher known for her work in feminist philosophy, and particularly for her analysis on the philosophy of time and gender.

Descartes

A French philosopher, scientist, and mathematician, known as the father of modern philosophy, who famously declared, "I think, therefore I am."

Plato

An ancient Greek philosopher who founded the Academy in Athens and is a pivotal figure in the development of Western philosophy, especially in terms of metaphysics, epistemology, and ethics.