At the Given Point, Find the Slope of the Curve $x ^ { 4 } y ^ { 4 } = 16$

question 422

Multiple Choice

At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve,
as requested.
- $x ^ { 4 } y ^ { 4 } = 16$ , slope at $( 2,1 )$

• A) 2
• B) \(- \frac { 1 } { 4 }\)
• C) \(- \frac { 1 } { 2 }\)
• D) \(- 8\)

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Definitions:

Par Value

The nominal or face value of a stock or bond as stated by the issuer, often used in the accounting of capital accounts.

Dividend

A share of a company's profits paid out to its shareholders, typically in the form of cash or additional stock.

Cumulative Preferred Stock

A type of preferred stock where missed dividend payments accumulate and must be paid out before any dividends can be issued to common stockholders.

Dividend

A portion of a company's earnings that is distributed to shareholders as a reward for their investment.