Find the Derivative of the Function $$y = \frac { x ^ { 3 } } { x - 1 }$$

question 546

Multiple Choice

Find the derivative of the function.
- $$y = \frac { x ^ { 3 } } { x - 1 }$$

• A) \(y ^ { \prime } = \frac { - 2 x ^ { 3 } - 3 x ^ { 2 } } { ( x - 1 ) ^ { 2 } }\)
• B) \(y ^ { \prime } = \frac { - 2 x ^ { 3 } + 3 x ^ { 2 } } { ( x - 1 ) ^ { 2 } }\)
• C) \(y ^ { \prime } = \frac { 2 x ^ { 3 } - 3 x ^ { 2 } } { ( x - 1 ) ^ { 2 } }\)
• D) \(y ^ { \prime } = \frac { 2 x ^ { 3 } + 3 x ^ { 2 } } { ( x - 1 ) ^ { 2 } }\)

---

Definitions:

Christian Science Monitor

An international news organization that provides thoughtful, global coverage through its website, weekly magazine, and daily news briefing.

First Lady

The title "First Lady" is commonly used to refer to the wife of a head of state, notably in the context of the wife of the President of the United States.

Pablo Picasso

A Spanish painter, sculptor, printmaker, ceramicist, and stage designer who is widely regarded as one of the greatest and most influential artists of the 20th century and the co-creator of Cubism.

Labradoodle

A hybrid dog breed created by crossing a Labrador Retriever with a Poodle, known for their friendly nature and hypoallergenic coats.