Theory and ExamplesLinearizations at inflection points
Chapter 10, Problem 46E(choose chapter or problem)
Problem 46E
Theory and Examples
Linearizations at inflection points Show that if the graph of a twice-differentiable function ƒ(x) has an inflection point at x = a, then the linearization of ƒ at x = a, is also the quadratic approximation of ƒ at x = a.This explains why tangent lines fit so well at inflection points.
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