Find $f ^ { \prime \prime \prime } ( x )$

question 6

Multiple Choice

Find $f ^ { \prime \prime \prime } ( x )$ if $f ( x ) = \frac { 1 } { \sqrt { 3 x } } - \frac { 3 } { x ^ { 2 } } + \sqrt { 7 }$

• A) \(f ^ { \prime \prime \prime } ( x ) = - \frac { 15 } { 16 x ^ { 3 } \sqrt { 3 x } } + \frac { 72 } { x ^ { 5 } }\)
• B) \(f ^ { \prime \prime \prime } ( x ) = - \frac { 15 } { 8 x ^ { 3 } \sqrt { 3 x } } + \frac { 72 } { x ^ { 5 } }\)
• C) \(f ^ { \prime \prime \prime } ( x ) = - \frac { 5 } { 72 x ^ { 3 } \sqrt { 3 x } } + \frac { 72 } { x ^ { 5 } }\)
• D) \(f ^ { \prime \prime \prime } ( x ) = - \frac { 3 } { 8 x ^ { 3 } \sqrt { 3 x } } + \frac { 3 } { x ^ { 3 } }\)

---

Definitions:

Mindfulness

Involves being fully present and engaged in the moment, aware of one's thoughts, feelings, bodily sensations, and surrounding environment without judgment.

Work Stress

The response people may have when presented with work demands and pressures that are not matched to their knowledge and abilities.

Positive Mood

A state of mind or feeling characterized by contentment, happiness, or optimism, influencing one’s perception and interaction with the world.

Negative Mood

Negative Mood refers to a temporary emotional state characterized by feelings such as sadness, anxiety, or irritability.