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Critical+Concavity

Review for Critical Points and Concavity

TermDefinition
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
Created by: jacobsong