If $g$ Is a Differentiable Function And $f ( x , y ) = g \left( x ^ { 2 } + y ^ { 2 } \right)$

question 58

Essay

If $g$ is a differentiable function and $f ( x , y ) = g \left( x ^ { 2 } + y ^ { 2 } \right)$ , show that $y f _ { x } - x f _ { y } = 0$

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Definitions:

Black Markets

Illicit trade practices where goods or services are exchanged illegally, bypassing governmental regulations or price controls.

Legal Markets

Markets operating within the framework of regulatory laws and norms, where transactions of goods and services occur legally.

Supply and Demand

The fundamental economic model that describes the interaction between the availability of a particular product and the desire for that product, determining its price.

Deadweight Loss

A loss of economic efficiency that occurs when the optimal level of supply and demand is not achieved.