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Local maxima and minima

Increasing functions and extremes

Concept 4 of 6 in Application of Derivatives

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Think about this

On y=x3−3xy = x^3 - 3x, the point (−1,2)(-1, 2) is a hilltop: every point close to it is lower. Is 22 the greatest value of x3−3xx^3 - 3x?