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Find Critical Points for the function y = x³
y = 3x² critical point is 0
Now draw a number line like so ___+________+___
0
Simply plug in numbers before and after 0 if they are positive the function is increasing both before and after the critical point.
Concavity - Use critical point to decide whether function is concave up or down.
___-_______+___
0
Critical points can also be possible points of inflection.
Point of Inflection - Where concavity changes from up to down or the opposite.
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