APFIVE Second Derivative and Concavity
All of the following statements regarding the second derivative and concavity are true except:
A
A point where the second derivative changes sign is considered a point of inflection.
B
The second derivative test can be used to determine intervals where a function is concave up or concave down.
C
If $$f''(x) < 0$$ for all x in an interval, then the function is concave up on that interval.
D
If $$f''(x) > 0$$, the function is concave up, indicating that the slope of the function is increasing.
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