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Limits and Derivatives
Limits and Derivatives
15 terms
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StudBud Administration
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Calculus review of derivatives limits and continuity
Flashcards
15 cards
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Practice quiz
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Questions
15
Answers
1
Which of the following is NOT a type of discontinuity
Corner
Hole
Gap
Asymptote
2
What is the derivative of the function f(x)=3x
2
+12x
6x2
18x
6x+12
6x
3
If the graph below represents a DERIVATIVE then the original function must have been what?
Linear
Cubic
Absolute Value
Quadratic
4
Which graph could be the derivative of the function on the left?
Neither
B
A
Not enough info
5
What is the derivative of the function ∛x
1/3 x(-1/3)
-1/3 x(-1/3)
-1/3 x(-2/3)
1/3 x(-2/3)
6
The function f(x)=3x
2
+12x has a critical value of -2. Is it a maximum or minimum?
Minimum
Im not paying attention
Neither
Maximum
7
What is the derivative?
a
c
d
b
8
How is graph B different from the others?
Pick Me if you are not paying attention
It is not continuous
It is an exponential function
It is a polynomial
9
What are the critical values of the function f(x)=3x
2
+12x
2
-3
-2
3
10
Find the following limit:
DNE
-2
2
5
11
What is the derivative of the function f(x)=x
3
-3x
3x2
3x2-3x
x2-3
3x2-3
12
If the graph below represents an ORIGINAL function then its derivative must be what?
Absolute Value
Quadratic
Cubic
Linear
13
Where is the MAXIMUM of the function f(x)=x
3
-3x
x=1
x=-3
x=-1
x=3
14
What is the limit definition of derivative?
A
C
B
D
15
What is the derivative of f(x)=4/5 x
5/2
4x4/2
4x3/2
2x4/2
2x3/2
