In this section, you will see how locating the intervals in which increases or decreases can be used to determine where the graph of a function is curving upward or curving downward. - If an interval is curving (or bending) upward, it is considered concave upwards. Its second derivative along this interval will be positive.
- If an interval is curving (or bending) downward, it is considered concave downwards. Its second derivative along this interval will be negative.
- If an interval is not curving at all, then its second derivative is zero.
- Key Terms
- concavity
- inflection points
- Second Derivative Test
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