Use the Derivative Of $f ( x ) = 5 x ^ { 3 } + 15 x$

question 117

Multiple Choice

Use the derivative of $f ( x ) = 5 x ^ { 3 } + 15 x$ to determine any points on the graph of $f ( x )$ at which the tangent line is horizontal.

• A) \(( 1,20 )\)
• B) \(( 1,20 )\) and \(( - 1 , - 20 )\)
• C) \(( 5,700 )\) and \(( - 5,700 )\)
• D) \(( 0,0 )\)
• E) \(f ( x )\) has no points with a horizontal tangent line.

---

Definitions:

Personality Inventory

A questionnaire designed to reveal aspects of an individual’s character or psychological makeup.

DSM-5

The Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition, a comprehensive classification of mental disorders published by the American Psychiatric Association.

Detachment

A state or process of being objectively disinterested or distanced from emotional involvement or personal interests.

Low Conscientiousness

A personality trait characterized by a lack of responsibility, organization, and reliability.