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Find the Points on the Curve y=2x3+3x212x+1y=2 x^{3}+3 x^{2}-12 x+1 Where the Tangent Is Horizontal

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Short Answer

Find the points on the curve y=2x3+3x212x+1y=2 x^{3}+3 x^{2}-12 x+1 where the tangent is horizontal.


Definitions:

Long-Run

A period of time in which all factors of production and costs are variable, allowing for complete adjustment to change.

Market Entry

The process by which a company or business begins to participate in a new market, facing existing competitors and regulations.

Normal Return

The minimum profit necessary for a company to remain viable in its industry, often considered the opportunity cost of capital.

Own Capital

The value of the assets owned by a company or individual that are used in the production process or for investment purposes.

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