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.
Answer and Explanation:
The point of inflection does exist for every function which is continuous at every point and the slope for some delta value both in the positive and negative direction of x is the same at that x.
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Learn more about this topic:
from Math 104: CalculusChapter 9 / Lesson 5