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9 Cards in this Set
- Front
- Back
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Where f'(x) is positive, f(x) is
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increasing
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Where f'(x) is negative, f(x) is
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decreasing
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Where f'(x)=0, f(x) is
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flat
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Local extrema may occur where f'(x) is
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0 or undefined
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If f'(x)=0 where x=a, and f''(a) is positive, x=a is a local
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minimum
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If f'(x)=0 where x=a, and f''(a) is negative, x=a is a local
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maximum
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If f''(x) is positive where x=a, f(a) is concave
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up
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If f''(x) is negative where x=a, f(a) is concave
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down
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Concavity may change direction where f''(x) is
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0 or undefined
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