Solve the Problem $f ( x , y ) = e ^ { x y }$

question 40

Multiple Choice

Solve the problem.
-Find the derivative of the function $f ( x , y ) = e ^ { x y }$ at the point $( 0 , - 6 )$ in the direction in which the function decreases most rapidly.

• A) -12
• B) -18
• C) -7
• D) -6

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Definitions:

Monopolist

A market participant that is the sole provider of a good or service, giving them significant control over pricing and market conditions.

Variable Costs

Expenses that change in proportion to the activity of a business.

Marginal Costs

The additonal cost incurred by producing one more unit of a product or service.

Elasticity of Demand

The elasticity of demand measures how responsive the quantity demanded of a good or service is to a change in its price, indicating the sensitivity of consumers to price changes.