Let $f ( x , y ) = x e ^ { y / x }$

question 260

Multiple Choice

Let $f ( x , y ) = x e ^ { y / x }$ . Find the value of the partial derivative $f _ { x } ( 2,4 )$ .

• A) \(- 2 e ^ { 2 }\)
• B) \(- e ^ { 2 }\)
• C)0
• D) \(e / 2\)
• E) \(e ^ { 2 } / 2\)
• F) \(e ^ { 2 }\)
• G) \(2 e ^ { 2 }\)
• H) \(4 e ^ { 2 }\)

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Definitions:

Indifference Curve

A contour line showing all consumption bundles that yield the same amount of total utility for an individual.

Total Utility

The overall satisfaction or benefit that a consumer derives from consuming a particular quantity of goods or services.

Indifference Curve

An indifference curve represents a series of combinations of two goods or services that give an individual equal satisfaction and utility, illustrating consumer preferences.

Satisfaction Levels

Refers to the degree of contentment or fulfillment that individuals or consumers get from the consumption of goods or services.