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

question 113

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:

Income Statements

A financial statement that reports a company's financial performance over a specific accounting period, detailing revenues, expenses, and profits or losses.

Balance Sheets

Financial statements that list an entity's assets, liabilities, and shareholders' equity at a specific point in time, providing a snapshot of its financial condition.

Securities Registration Statement

A document filed with the SEC that discloses essential information regarding a company's securities offering.

Shelf Registration

A regulatory provision that allows an issuer to register a new issue of securities without selling the entire issue at once, enabling subsequent sales over a period.