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Calculus Rocks (Derivatives and such) Flashcards | StudBud
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Calculus Rocks (Derivatives and such)
Calculus Rocks (Derivatives and such)
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Calculus review of derivatives limits and continuity
Flashcards
16 cards
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Practice quiz
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Questions
16
Answers
1
If your function has a corner at the value x=3 then which of the following is true?
The function is discontinuous at x=3
The derivative has a gap at x=3
The graph is pretty
There is a maximum or minimum at x=3
2
Which of the following is NOT a type of discontinuity
Gap
Hole
Corner
Asymptote
3
Find the following limit:
-2
DNE
2
5
4
What is the derivative?
d
b
a
c
5
Which graph could be the derivative of the function on the left?
Not enough info
Neither
B
A
6
What is the derivative of the function f(x)=x
3
-3x
3x2
3x2-3
3x2-3x
x2-3
7
What are the critical values of the function f(x)=3x
2
+12x
3
-2
-3
2
8
How is graph B different from the others?
It is not continuous
Pick Me if you are not paying attention
It is an exponential function
It is a polynomial
9
What is the derivative of the function f(x)=3x
2
+12x
18x
6x
6x2
6x+12
10
Where is the MAXIMUM of the function f(x)=x
3
-3x
x=1
x=-1
x=-3
x=3
11
If the graph below represents an ORIGINAL function then its derivative must be what?
Quadratic
Absolute Value
Cubic
Linear
12
If the graph below represents a DERIVATIVE then the original function must have been what?
Quadratic
Absolute Value
Linear
Cubic
13
The function f(x)=3x
2
+12x has a critical value of -2. Is it a maximum or minimum?
Neither
Maximum
Im not paying attention
Minimum
14
What is the derivative of f(x)=4/5 x
5/2
4x4/2
2x3/2
2x4/2
4x3/2
15
What is the limit definition of derivative?
A
B
D
C
16
What is the derivative of the function ∛x
1/3 x(-2/3)
-1/3 x(-2/3)
-1/3 x(-1/3)
1/3 x(-1/3)
