Calculate the Derivative of the Function $$g ( x ) = - \frac { 2 } { x } ; g ^ { \prime } ( - 2 )$$

question 169

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $$g ( x ) = - \frac { 2 } { x } ; g ^ { \prime } ( - 2 )$$

• A) \(g ^ { \prime } ( x ) = - 2 ; g ^ { \prime } ( - 2 ) = - 2\)
• B) \(g ^ { \prime } ( x ) = \frac { 2 } { x ^ { 2 } } ; g ^ { \prime } ( - 2 ) = \frac { 1 } { 2 }\)
• C) \(g ^ { \prime } ( x ) = - \frac { 2 } { x ^ { 2 } } ; g ^ { \prime } ( - 2 ) = - \frac { 1 } { 2 }\)
• D) \(g ^ { \prime } ( x ) = - 2 x ^ { 2 } ; g ^ { \prime } ( - 2 ) = - 8\)

---

Definitions:

Eastern Europe

A region of Europe that includes countries like Poland, Hungary, and Romania, known for its diverse cultures and historical significance.

Sundiata

A legendary prince and the founder of the Mali Empire in West Africa, celebrated as a hero in the epic "Sundiata Keita".

Kingdom of Mali

A powerful and wealthy West African empire during the 13th to 16th centuries, renowned for its cultural achievements and its significant role in the trans-Saharan trade.

Legendary Ruler

A monarch or leader whose life and deeds have become part of legend, often blending historical facts with mythological elements.