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Critical+Concavity
Review for Critical Points and Concavity
Term | Definition |
---|---|
Critical Point | where the derivative, or slope, of an equation is equal to zero |
Point of Inflection | The point at which an equation changes concavity |
Interval of Increase | Slope is positive |
Interval of Decrease | Slope is negativity |
First Derivative | When calculated shows slope of equation; when the equation is solved and is positive the slope is positive, when the equation is solved and the answer is found to be negative the slope is also negative |
Second Derivative | When calculated shows the concavity of an equation; when the equation is solved and is negative the concavity is down while when positive it is up |
Concavity | Curved like a segment of the interior of a circle or hollow sphere; curvature of the function |