Calc AB Unit 5 vocab

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10 Terms

1
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If f is increasing

f' > 0

2
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If f is decreasing,

f' < 0

3
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If f has a critical value at x=a,

f'(a) = 0 or DNE

4
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If f has a MAX at x=a,

f'(a) = 0/DNE, and f' changes signs from pos to neg at x= a

5
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If f has a MIN at x=a,

f'(a) = 0/DNE. and f' changes signs from neg to pos at x =a

6
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If f is concave up,

f'' > 0

7
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If f is concave down

f'' < 0

8
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If f has a point of inflection at x=a

f''(a) = 0/DNE, and f'' changes signs at x = a

9
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If f has a MAX at x=a,

f'(a) = 0/DNE, and f''(a) < 0

10
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If f has a MIN at x=a

f'(a) = 0/DNE. and f''(a) > 0

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