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10 cards from this deck
Function is concave up, graph bends upwards like U
Function is concave down, graph bends downwards like upside-down U
Point where concavity changes from up to down or vice versa
Solve f′′(x)=0f''(x) = 0f′′(x)=0 or where f′′(x)f''(x)f′′(x) is undefined, then verify sign change
f′(c)=0f'(c) = 0f′(c)=0 and f′′(c)>0f''(c) > 0f′′(c)>0
f′(c)=0f'(c) = 0f′(c)=0 and f′′(c)<0f''(c) < 0f′′(c)<0
When f′(x)=0f'(x) = 0f′(x)=0 and f′′(x)=0f''(x) = 0f′′(x)=0
Acceleration: a(t) = rac{d^2s(t)}{dt^2}
At critical point where P′′(x)<0P''(x) < 0P′′(x)<0 (concave down)
At critical point where C′′(x)>0C''(x) > 0C′′(x)>0 (concave up)
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