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Duplicate of Calculus Applications of Derivatives 1 Flashcards | StudBud

Explore/Duplicate of Calculus Applications of Derivatives 1

Duplicate of Calculus Applications of Derivatives 1

13 terms·StudBud Administration·1 play

#calculus #derivatives #extrema #concavity #inflectionpoints

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Questions 13

Answers

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