Properties of Points of Inflection
All of the following statements regarding points of inflection and the second derivative are true EXCEPT:
A
A point of inflection occurs when the concavity of a function changes.
B
A point where the second derivative equals zero is always a point of inflection.
C
One must test intervals around a candidate point to confirm a change in concavity for it to be an inflection point.
D
If there is no sign change in $$f''(x)$$ around a zero, then that point is not an inflection point.
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