MAT135H1 Study Guide - Final Guide: Inflection, If And Only If

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22 Sep 2020
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MAT135H1 Full Course Notes
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MAT135H1 Full Course Notes
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4. 4 concavity and points of inflection: a function, a function f x is concave up on an interval if, the graph of the function is above the tangent on every point of the interval x > 0 f f x is concave down on an interval if: the graph of the function is below the tangent on every point of the interval x < ""( ) 0 f: point of inflection, a point on a graph where, a point of inflection occurs when f x = or undefined. 0 f x changes from concave up to concave down and vice versa: second derivative test, another test used to find local max or min values x = 0 find critical points using f find f x if it exists evaluate f x at critical points if if if f f f c > , then the critical point is a local min.

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