If All the Third-Order Partial Derivatives Of $f ( x , y )$

question 196

Multiple Choice

If all the third-order partial derivatives of $f ( x , y )$ are continuous, what is the largest number of them that can be distinct?

• A)3
• B)4
• C)5
• D)6
• E)7
• F)8
• G)9
• H)10

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Definitions:

Elastic Demand

a demand scenario where the quantity demanded of a good or service significantly changes in response to a change in its price.

Profitable

Generating revenue that exceeds the costs and expenses involved in operating.

Long-Run Equilibrium

Long-run equilibrium occurs in a market when supply equals demand over time, allowing all participants to adjust fully to any changes.

Average Total Cost

The total cost of production (fixed and variable costs combined) divided by the quantity of output produced.