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Duplicate of Applications of Derivatives Review Flashcards | StudBud
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Duplicate of Applications of Derivatives Review
Duplicate of Applications of Derivatives Review
5 terms
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StudBud Administration
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18 plays
A quick review of calculus topics dealing with the applications of the first and second derivative.
Flashcards
5 cards
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Practice quiz
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Questions
5
Answers
1
The function shown here appears to have how many critical points?
5
3
2
4
2
Find the interval over which the given function is decreasing.
(1, ∞)
(-2, 4)
(-∞, -2) U (4,∞)
(-∞, 1)
3
Given f(x) =x
2
, find the value c on the interval [1, 3] for which the MVT applies.
x = 1/2
x = 4
x = 0
x = 2
4
The First Derivative Test...
Locates critical points on f(x)
Determines if critical points are local extrema on f(x)
Determines the increasing and decreasing behavior of f(x)
Locates point of inflection on f(x)
5
Based on the sign chart, which of the following statements is false?
f(x) has a relative minimum at x=5
f(x) has two critical points
f(x) has a relative maximum at x=-6
f(x) has three critical points