Find the Derivative of the Function Using the Definition of Derivative

question 103

Multiple Choice

Find the derivative of the function using the definition of derivative.
- $$f ( x ) = - \frac { 2 } { x }$$

• A) \(f ^ { \prime } ( x ) = - 2 x ^ { 2 }\)
• B) \(f ^ { \prime } ( x ) = - \frac { 2 } { x ^ { 2 } }\)
• C) \(f ^ { \prime } ( x ) = - 2\)
• D) \(f ^ { \prime } ( x ) = \frac { 2 } { x ^ { 2 } }\)

---

Definitions:

John Quincy Adams

The sixth President of the United States (1825–1829) known for his diplomatic service and being a key figure in the formulation of foreign policy.

Foreign Policy

A government's strategy in dealing with other nations, focusing on diplomacy, security, and economic interests.

Economic Expansion

A period of increased business activity marking the growth of the economy, often characterized by higher employment, increased production, and rising incomes.

Adams-Onis Treaty

An agreement between the United States and Spain in 1819 that transferred Florida to the U.S. and defined the boundary between the U.S. and New Spain.