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What Is the Smallest Slope for a Tangent Line to the Graph

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What is the smallest slope for a tangent line to the graph of y=2x32x2+5x+1y = 2 x ^ { 3 } - 2 x ^ { 2 } + 5 x + 1 ?


Definitions:

House

A legislative body or chamber, often part of a bicameral government system, such as the House of Representatives in the United States.

Party Unity

The degree to which members of a political party share common goals and demonstrate a collective stance on legislative and policy issues.

Congress

The bicameral legislature of the federal government of the United States, consisting of two houses: the Senate and the House of Representatives, responsible for creating federal legislation.

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