Meaning:
The 2 nd Derivative tells you about the concavity of the original function, .
Note: Having the 2 nd Derivative equal zero is only one part of the requirement to be an inflection point. The original function, , must also change concavity at that point. From concave up to concave down or from concave down to concave up.
Reading the 2 nd Derivative shape off another graph. |
Reading the graph of a 2 nd Derivative. The y-values of the 2 nd Derivative graph correspond to the concavity of the original function, . y-value = concavity |
|
|