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Duplicate of Calculus Applications of Derivatives 1 Flashcards | StudBud

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Duplicate of Calculus Applications of Derivatives 1

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Questions 10

Answers

1
No Calculator
endpoints
f " = -1
f ' = 0
f " = 0
2
No Calculator: intervals where f is decreasing
[-5,5]
(0,2)
f '(x) < 0
(-5,0)∪(2,5)
3
NO Calculator: When is the graph concave down?
(-∞,∞)
never concave down
(-∞,-√(2))∪(√(2),∞)
(-√(2),√(2))
4
No Calculator
a = -50
a = 50
a = undefined
a = 0
5
No Calculator: Intervals where f is increasing
(-5,0)∪(2,5)
(0,2)
f '(x) > 0
(-∞,∞)
6
Find the maximum(s)
x = 0 and x = 5
(-5 -194) and (2,2)
(0,6) and (5,56)
x = -5 and x = 2
7
Find the minimum(s)
(-5 -194) and (2,2)
x = 0 and x = 5
x = -5 and x = 2
(0,6) and (5,56)
8
Answer the question, preferably correctly.
(-√(2), -12) and (√(2), -12)
x = -2 and x = 2
(-√(2), 12) and (√(2), 12)
x = -√(2) and x = √(2)
9
NO Calculator: Where is the graph concave up?
(-∞,∞)
(-∞,-√(2))∪(√(2),∞)
Never concave up
(-√(2),√(2))
10
Calculator OK
a = -216
a = 216
a = 0
a = 6