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10 cards from this deck
f(x1)≤f(x2)f(x_1) \leq f(x_2)f(x1)≤f(x2) when x1<x2x_1 < x_2x1<x2 in III
f(x1)≥f(x2)f(x_1) \geq f(x_2)f(x1)≥f(x2) when x1<x2x_1 < x_2x1<x2 in III
Increasing
Decreasing
f′(x)f'(x)f′(x) is zero or undefined
f(x1)<f(x2)f(x_1) < f(x_2)f(x1)<f(x2) for all x1<x2x_1 < x_2x1<x2
Calculate first derivative f′(x)f'(x)f′(x)
Solve f′(x)=0f'(x) = 0f′(x)=0 and find where f′(x)f'(x)f′(x) is undefined
Test points
Optimization (finding maximum or minimum values)
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