The Second Derivative Test Reveals That F (X)= X² - $x = \sqrt { 4 }$

question 34

Multiple Choice

The second derivative test reveals that f (x) = x² - 4 has

• A)nothing significant at x = 4.
• B)a relative maximum at \(x = \sqrt { 4 }\) .
• C)a point of inflection at \(x = \sqrt { 4 }\) .
• D)a relative minimum at x = 0.

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Definitions:

Cost Functions

Mathematical relationships that express how a firm’s costs depend on the quantity of output it produces.

Economic Profits

The surplus or profits generated by a firm after accounting for both explicit and implicit costs.

Fixed Cost

Expenses that do not change with the level of output produced, such as rent or salaries.

Demand Curve

A graph displaying the relationship between the price of a good and the quantity demanded, typically showing that as the price decreases, the quantity demanded increases.