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Find the Directional Derivative Of f(x,y)=2xy3f ( x , y ) = 2 \sqrt { x } - y ^ { 3 }

question 86

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Find the directional derivative of f(x,y) =2xy3f ( x , y ) = 2 \sqrt { x } - y ^ { 3 } at the point (1, 3) in the direction toward the point (3, 1) . Select the correct answer.


Definitions:

Budget Line

A visual depiction of every potential pair of two products a consumer is able to buy based on their earnings and the costs of these items.

Utility Function

A mathematical representation of how different quantities of goods or services translate into levels of happiness or satisfaction for an individual or society.

Utility Function

A mathematical representation that assigns a value to every possible choice to indicate the level of satisfaction or utility that choice provides to a consumer.

Demand

The quantity of a good or service that consumers are willing and able to purchase at a given price over a specified period of time.

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