Find All Possible Functions with the Given Derivative $$y ^ { \prime } = x ^ { 3 } - 6 x$$

question 119

Multiple Choice

Find all possible functions with the given derivative.
- $$y ^ { \prime } = x ^ { 3 } - 6 x$$

• A) \(\frac { x ^ { 4 } } { 4 } - \frac { 6 x ^ { 2 } } { 2 } + C\)
• B) \(\frac { x ^ { 3 } } { 3 } - \frac { 6 x ^ { 2 } } { 2 } + C\)
• C) \(3 x ^ { 2 } - 6 + C\)
• D) \(\frac { x ^ { 4 } } { 4 } + 6 x ^ { 2 } + C\)

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Definitions:

Allopathic Medical Schools

Institutions that provide education and training based on Western medical practices, focusing on the diagnosis and treatment of diseases through observable evidence.

Scientific Principles

Fundamental concepts that form the foundation of scientific inquiry, including observation, hypothesis formulation, experimentation, and theory development.

Laboratory Work

Tasks and analyses conducted in a controlled, scientific setting aimed at researching, diagnosing, or developing procedures and treatments.

Allopaths

Practitioners of allopathic medicine, a system that focuses on using pharmacologically active agents or physical interventions to treat or suppress symptoms or diseases.