F(x) F'(x) F''(x)
5.0(1)
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12 Terms
1
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f’(x) is positive f(x) is
increasing
2
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f’(x) is negative f(x) is
decreasing
3
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f’(x) positive to negative f(x) is
Relative Maximum
4
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f’’(x) negative when f’(x)=0 f(x) is
Relative Maximum
5
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f’(x) is negative to positive f(x) is
Relative Minimum
6
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f’’(x) positive when f’(x)=0 f(x) is
Relative Minimum
7
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f’’(x) is positive f(x) is
concave up
8
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f’’(x) is negative f(x) is
concave down
9
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f’(x) increasing f(x) is
concave up
10
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f’(x) decreasing f(x) is
concave down
11
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f’’(x) changes signs f(x) is
point of inflection
12
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f’(x) changes increasing to decreasing (or vice versa) f(x) is
point of inflection
Note 
Flashcards (64)