Use Implicit Differentiation to Determine $\frac{d y}{d x}$ Where $x ^ { 2 }$

question 16

True/False

Use implicit differentiation to determine $\frac{d y}{d x}$
where $x ^ { 2 }$ + $y ^ { 2 }$ = 4. Is $\frac { d y } { d x } = \frac { x } { y }$ correct?

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Definitions:

Medium Of Exchange

An intermediary instrument used to facilitate the sale, purchase, or trade of goods between parties.

Commodity Money

Money whose value comes from a commodity of which it is made, such as gold and silver, used historically as a medium of exchange.

Token Money

Money whose face value exceeds its cost of production.

Coins

Pieces of metal issued by the government as money, typically used as lower-value currency.