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10 cards from this deck
It's where the graph changes concavity.
f′′(c)f''(c)f′′(c) must equal zero or be undefined at ccc.
The second derivative changes sign at x=cx = cx=c.
Solve f′′(x)=0f''(x) = 0f′′(x)=0 for xxx.
f′′(x)f''(x)f′′(x) changes sign around x=cx = cx=c.
Set f′′(x)=0f''(x) = 0f′′(x)=0; find changes in concavity.
f′′(x)>0f''(x) > 0f′′(x)>0.
f′′(x)<0f''(x) < 0f′′(x)<0.
Graph changes from concave up to down, or vice versa.
Derivative is zero; concavity changes at this point.
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