Use the Function Below and Its Derivative to Determine Any $f$

question 79

Multiple Choice

Use the function below and its derivative to determine any points on the graph of $f$ at which the tangent line is horizontal.
$$f ( x ) = - 2 x ^ { 4 } + 4 x ^ { 2 } , f ^ { \prime } ( x ) = - 8 x ^ { 3 } + 8 x$$

• A) \(( - 1,2 ) , ( 0,0 ) , ( 1,2 )\)
• B) \(( - 1 , - 2 ) , ( 1 , - 8 )\)
• C) \(( - 1,2 ) , ( 1,2 )\)
• D) \(( 0,0 ) , ( 1,0 )\)
• E) \(( 0,0 ) , ( 1,2 )\)

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Definitions:

Par Value

The face value of a bond or a stock or the stated value per share, setting the minimum price at which shares can be issued.

Preferred Stock

Preferred Stock is a class of ownership in a corporation that has a higher claim on assets and earnings than common stock, often with fixed dividends.

Stock Dividend

A payment made by a corporation to its shareholders in the form of additional shares, rather than cash, based on the proportion of shares they already own.

Cash Dividend

A payment made by a company out of its profits to its shareholders, usually in the form of cash.