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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 13

Answers

1
NO Calculator: When is the graph concave down?
(-∞,∞)
(-√(2),√(2))
never concave down
(-∞,-√(2))∪(√(2),∞)
2
No Calculator: Intervals where f is increasing
f '(x) > 0
(0,2)
(-5,0)∪(2,5)
(-∞,∞)
3
No Calculator: intervals where f is decreasing
f '(x) < 0
[-5,5]
(-5,0)∪(2,5)
(0,2)
4
Calculator OK
x = -2 and x = 2
(-√(2), -12) and (√(2), -12)
(-√(2), 12) and (√(2), 12)
x = -√(2) and x = √(2)
5
No Calculator
a = 0
a = -50
a = undefined
a = 50
6
Calculator OK: Find the minimums
x = 0 and x = 5
x = -5 and x = 2
(0,6) and (5,56)
(-5 -194) and (2,2)
7
Calculator OK
a = 0
a = 216
a = ∞
a = -216
8
Calculator OK: Find the maximum(s)
x = 0 and x = 5
(0,6) and (5,56)
(-5 -194) and (2,2)
x = -5 and x = 2
9
No Calculator
Use the Max Min feature of your calculator
f " changes + to - or - to + on either side of the x-value
f ' changes + to - or - to + on either side of the x-value
See if f " > 0 or f " < 0 at the x-value
10
No Calculator
f " = -1
f " = 0
endpoints
f ' = 0
11
No Calculator
f has a maximum or minimum
f " has a maximum or minimum
The graph of f changes concavity
f " changes sign + to - or - to +
12
NO Calculator: Where is the graph concave up?
(-∞,-√(2))∪(√(2),∞)
(-∞,∞)
(-√(2),√(2))
Never concave up
13
No Calculator
f '(x) = 0, f '(x) = undefined, endpoints
F(x), L(x), f '(x)
Donald Trump, Hillary Clinton, Jeb Bush, Bernie Sanders
f '(x) = 0, f '(x) = undefined