Find an Equation of the Tangent Line to the Curve $2 x ^ { 3 } + 2 y ^ { 3 } - 9 x y = 0$

question 67

Essay

Find an equation of the tangent line to the curve $2 x ^ { 3 } + 2 y ^ { 3 } - 9 x y = 0$ at the point (1, 2).

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Definitions:

Demand Function

A mathematical formula that describes the relationship between the quantity demanded of a good and its price, holding other factors constant.

Price Discrimination

A pricing strategy where identical or substantially similar goods or services are sold at different prices by the same provider to different groups of consumers.

Monopolist

An economic agent (individual or company) that is the sole supplier of a particular commodity or service, controlling the market.

Market

A venue or system where buyers and sellers interact to trade goods, services, or financial instruments, determining prices through supply and demand.