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10 cards from this deck
It shows if a function is concave up or down.
If f′′(x)>0f''(x) > 0f′′(x)>0 in an interval, it's concave up.
If f′′(x)<0f''(x) < 0f′′(x)<0 in an interval, it's concave down.
Where concavity changes in the graph of a function.
Solve f′′(x)=0f''(x) = 0f′′(x)=0 or where f′′(x)f''(x)f′′(x) is undefined.
It indicates a local minimum at that point.
It indicates a local maximum at that point.
If f′′(x)=0f''(x) = 0f′′(x)=0 at the critical point, the test is inconclusive.
It helps identify concavity and inflection points.
It helps find max profit or min cost in functions.
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