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The Derivative Flashcards | StudBud
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The Derivative
The Derivative
10 terms
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Β·
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#derivatives #calculus #power-Rule #differentiation
Flashcards
10 cards
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Practice quiz
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Questions
10
Answers
1
Find the slope of the line tangent to Ζ(π)= -2x
2
at π = 1.
8
4
-4
-8
2
Where is the following function NOT differentiable?
at x = 1
at y = 2
The function is differentiable everywhere in its domain.
at y = 1
3
The derivative of Ζ(π) in the following image is
Negative
Tangent
Positive
Secant
4
The derivative of some function whose graph is shown below is
Thereβs not enough information
0
2.1
-0.8
5
For some function Ζ(π), what does Ζβ(1) = 2 mean?
The derivative of Ζ(π) cannot existe since Ζβ(1) β f(2)
The derivative of Ζ(π) is 2 at π = 1
Ζ(π) is discontinuous at 1
The derivative of Ζ(π) is 1 at π = 2
6
Which of the following must be true for a derivative to exist at π=a?
Ζ(a) must exist
Both lim πβa and Ζ(a) must exist
lim πβa must exist
The function must be a polynomial tangent to Ζβ(π) at π=a
7
Find Ζβ(2) if Ζ(π) = 3π
2
+ 1
6
13
7
12
8
If a function is continuous & increasing on [a,b], then Ζ β(π) must be positive on [a,b].
Not enough information
False
True
9
Which of the following describes what a derivative is?
The slope of the tangent at π, or fβ(x) = Ξπ/Ξπ
Limhβ0 [ f(x+h) -f(x) ] / h
All are correct
The instantaneous rate of change at any given value of π
10
The derivative of Ζ(π) = π
2
is negative on the interval:
Ζβ(π) is never negative.
(-β,0)
(-β,β)
(0, β)
