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Comparing f(x), f'(x), and f''(x) Flashcards | StudBud
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Comparing f(x), f'(x), and f''(x)
Comparing f(x), f'(x), and f''(x)
30 terms
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StudBud Administration
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Calculus AB/BC quiz over the relationship between a function and its derivatives.
Flashcards
30 cards
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Practice quiz
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Questions
30
Answers
1
If f ''(x) changes from NEGATIVE to POSITIVE, then f(x) has a...
Local Max
Local Min
None of the Above
Point of Inflection
2
If f '(x) changes from NEGATIVE to POSITIVE, then f(x) has a...
Local Max
Local Min
Point of Inflection
None of the Above
3
If f ''(x) is NEGATIVE, then f(x) is...
Increasing
Concave Down
Decreasing
Concave Up
4
If f '(x) has a LOCAL MIN, then f(x) has a...
None of the Above
Point of Inflection
Local Max
Local Min
5
If f ''(x) is NEGATIVE, then f '(x) is...
Increasing
Concave Up
Decreasing
Concave Down
6
If f ''(x) is POSITIVE, then f '(x) is...
Decreasing
Increasing
Concave Up
Concave Down
7
If f '(x) changes from POSITIVE to NEGATIVE, then f(x) has a...
Local Min
Point of Inflection
None of the Above
Local Max
8
If f ''(x) changes from NEGATIVE to POSITIVE, then f '(x) has a...
None of the Above
Point of Inflection
Local Min
Local Max
9
If f ''(x) changes from POSITIVE to NEGATIVE, then f(x) has a...
None of the Above
Local Min
Point of Inflection
Local Max
10
If f ''(x) changes from NEGATIVE to POSITIVE, then f '(x) has a...
Point of Inflection
None of the Above
Local Min
Local Max
11
If f '(x) is POSITIVE, then f(x) is...
Decreasing
Concave Up
Increasing
Concave Down
12
If f '(x) changes from NEGATIVE to POSITIVE, then f(x) has a...
Local Max
Point of Inflection
None of the Above
Local Min
13
If f '(x) is DECREASING, then f(x) is...
Concave Down
Decreasing
Increasing
Concave Up
14
If f '(x) is INCREASING, then f(x) is...
Decreasing
Concave Down
Increasing
Concave Up
15
If f ''(x) is NEGATIVE, then f '(x) is...
Concave Up
Increasing
Decreasing
Concave Down
16
If f '(x) is POSITIVE, then f(x) is...
Concave Down
Increasing
Decreasing
Concave Up
17
If f '(x) is INCREASING, then f(x) is...
Increasing
Concave Up
Decreasing
Concave Down
18
If f '(x) has a LOCAL MAX, then f(x) has a...
None of the Above
Point of Inflection
Local Min
Local Max
19
If f ''(x) changes from POSITIVE to NEGATIVE, then f(x) has a...
Point of Inflection
Local Max
Local Min
None of the Above
20
If f ''(x) changes from NEGATIVE to POSITIVE, then f(x) has a...
Point of Inflection
None of the Above
Local Max
Local Min
21
If f ''(x) changes from POSITIVE to NEGATIVE, then f '(x) has a...
None of the Above
Local Min
Point of Inflection
Local Max
22
If f ''(x) is POSITIVE, then f(x) is...
Concave Down
Decreasing
Concave Up
Increasing
23
If f '(x) changes from POSITIVE to NEGATIVE, then f(x) has a...
Local Min
Local Max
Point of Inflection
None of the Above
24
If f ''(x) changes from POSITIVE to NEGATIVE, then f '(x) has a...
Point of Inflection
None of the Above
Local Max
Local Min
25
If f ''(x) is NEGATIVE, then f(x) is...
Decreasing
Concave Up
Concave Down
Increasing
26
If f ''(x) is POSITIVE, then f(x) is...
Increasing
Decreasing
Concave Down
Concave Up
27
If f '(x) is NEGATIVE, then f(x) is...
Concave Up
Concave Down
Increasing
Decreasing
28
If f '(x) is DECREASING, then f(x) is...
Increasing
Decreasing
Concave Up
Concave Down
29
If f '(x) is NEGATIVE, then f(x) is...
Concave Up
Concave Down
Decreasing
Increasing
30
If f ''(x) is POSITIVE, then f '(x) is...
Concave Up
Concave Down
Increasing
Decreasing
