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Location of Tangents to Concave Up and Down Functions

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Explanations 1

A tangent line to a curve lies above the curve if it is concave down, and it lies below the curve if it is concave up. Here, let us examine a function f(x)f(x)f(x) that is conca…
By Sujay Kazi

Problems 1

What's the slope of the tangent line at the unique point of inflection of the function f(x)=x3−3x2+6x+2000f(x) = x^3 - 3x^2 + 6x + 2000f(x)=x3−3x2+6x+2000? Source: HMMT February…