Find an Equation for the Tangent to the Curve at the Given

question 158

Multiple Choice

Find an equation for the tangent to the curve at the given point.
- $$y = \frac { x ^ { 3 } } { 2 } , ( 8,256 )$$

• A) \(y = 32 x + 512\)
• B) \(y = 512 x + 96\)
• C) \(y = 96 x - 512\)
• D) \(y = 32 x - 512\)

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Definitions:

Demand Curve

A graph that shows the relationship between the price of a good and the quantity of that good that consumers are willing to purchase.

Currency Value

The worth of a particular currency in terms of another currency or the amount of goods and services that can be exchanged for it.

U.S. Dollar

The official currency of the United States, widely used as a standard of exchange in international markets and a reserve currency globally.

Foreign Exchange

The trade of one currency for another, facilitating international trade and investment.