Calculate the Derivative of the Function $$g ( x ) = 3 x ^ { 2 } - 4 x ; g ^ { \prime } ( 3 )$$

question 70

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $$g ( x ) = 3 x ^ { 2 } - 4 x ; g ^ { \prime } ( 3 )$$

• A) \(g ^ { \prime } ( x ) = 6 x ; g ^ { \prime } ( 3 ) = 18\)
• B) \(g ^ { \prime } ( x ) = 6 x - 4 ; g ^ { \prime } ( 3 ) = 14\)
• C) \(g ^ { \prime } ( x ) = 3 x - 4 ; g ^ { \prime } ( 3 ) = 5\)
• D) \(g ^ { \prime } ( x ) = 2 x - 4 ; g ^ { \prime } ( 3 ) = 2\)

---

Definitions:

Loner Deviants

Individuals who deviate from societal norms and prefer solitary activities, often viewed negatively.

Practicing Christians

Individuals who actively engage in Christian faith-based activities, rituals, and beliefs.

Nominal Christians

Individuals who identify with Christianity primarily in name without deep engagement in its beliefs or practices.

Cutters

Individuals who engage in self-harm, particularly in the form of cutting their skin, often as a coping mechanism for emotional distress.