For which point of inflection does the first derivative exist?
Question:
For which point of inflection does the first derivative exist?
Point of inflection
The point of inflection is the point where the concavity changes i.e when the double derivative is 0 or the curvature changes its sign from positive to negative or vice versa.
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Concavity and Inflection Points on Graphs
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Chapter 9 / Lesson 5
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Inflection points and concavity give graphs their smooth sloped shape, like a skateboarding ramp. Learn how to define concavity and concave up/concave down lines as well as how to identify the inflection points of concave lines.
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