Calculate the Derivative of the Function $$f ( x ) = x ^ { 2 } + 7 x - 2 ; f ^ { \prime } ( 0 )$$

question 105

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $$f ( x ) = x ^ { 2 } + 7 x - 2 ; f ^ { \prime } ( 0 )$$

• A) \(f ^ { \prime } ( x ) = 2 x + 7 ; f ^ { \prime } ( 0 ) = 7\)
• B) \(f ^ { \prime } ( x ) = x + 7 ; f ^ { \prime } ( 0 ) = 7\)
• C) \(f ^ { \prime } ( x ) = 2 x ; f ^ { \prime } ( 0 ) = 0\)
• D) \(f ^ { \prime } ( x ) = 2 x - 2 ; f ^ { \prime } ( 0 ) = - 2\)

---

Definitions:

Public Facilities

Buildings, spaces, and services provided by the government for the use and benefit of the general public, such as parks, libraries, and roads.

Political Change

A shift in the governance system, policies, or political leadership within a country, often as a result of social movements, elections, or revolutions.

Hays Code

A set of industry moral guidelines that governed the production of most United States motion pictures released by major studios from 1930 to 1968.

Nudity

The state of being without clothes, which can be a natural human condition or used in specific social, cultural, or artistic contexts.