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Last updated 5:12 PM on 3/28/26
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19 Terms

1
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f(x) increasing

f prime positive

2
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f(x) decreasing

f prime negative

3
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f(x) flat points (f(x) = 0 at that one point)

f prime hits the x axis

4
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f(x) local max

f prime crosses from positive to negative

5
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f(x) local min

f prime crosses from negative to positive

6
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f(x) concave up to concave down

f prime local max

7
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f(x) concave down to concave up

f prime local min

8
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f(x) concave up

f prime is increasing

9
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f(x) concave down

f prime is decreasing

10
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f(x) vertical tangent , slope goes to infinity

f prime undefined and like vertical asymptote

11
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f(x) = constant

f prime slope y= zero for the interval

12
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f(x) very steep increasing

large positive f’

13
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f’ very steep decreasing

large negative f’

14
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f(x) steepness flat

f’ near 0

15
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f(x) sharp points

f prime break or jump

16
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f(x) hole

f prime hole

17
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f(x) had a local max OR min at x=a and is smooth

f prime of a equals 0

18
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Even function g(-x)=g(x)

g’(-x) = -g’(x) even function

19
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Odd function g(-x)=-g(x)

Odd function g’(-x)=g’(x)

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