Calculate the Derivative of the Function $$f ( x ) = \frac { 8 } { x } ; f ^ { \prime } ( - 1 )$$

question 171

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $$f ( x ) = \frac { 8 } { x } ; f ^ { \prime } ( - 1 )$$

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

---

Definitions:

Self-Fulfilling Prophecy

A forecast that, whether directly or indirectly, ensures its own realization through a positive feedback loop between belief and action.

Speculative Inquiry

The process of exploring or investigating theoretical ideas or principles without immediate concern for practical applications.

Intellectual Curiosity

An intrinsic desire to seek out, engage with, and derive pleasure from cognitive and intellectual challenges.

Exclusion Prediction

The process or practice of forecasting the likelihood of individuals or entities being excluded or marginalized within social or economic systems.