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Calculus Review: Limitsand Derivatives! Flashcards | StudBud
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Calculus Review: Limitsand Derivatives!
Calculus Review: Limitsand Derivatives!
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Awesome calculus review! #derivativesandlimits
Flashcards
39 cards
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Practice quiz
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Questions
39
Answers
1
Find the derivative: f(x) = x
2/3
2 / 3x-1/3
3/5x5/3+c
3 / 2x1/3
2
Find f(2)
6
2
-1
1
3
What is ln e?
0
-1
DNE
1
4
lim
x→5
(x)/(x
2
-25)
DNE
It's-a Luigi time!
5
25
5
Find the derivative:
-(1/2)(x + 3)
(1/2)(x + 3)-1/2
-(1/2)(x + 3)-1/2
-(1/2)√(x + 3)-1/2
6
lim x→∞ √(x
2
-3x)/(2x+1) no calculator
-1/12
*Ejects seat
∞
1/2
7
Which of the following countries is not located in Europe?
Greece
Luxemburg
India
Germany
8
Find the limit as x approaches -∞ (Choose carefully)
0
-1/3
1/3
DNE
9
Find the second derivative with respect to t: x = 4t
3
+8t
2
+7t+18
x''=24t+15
a=12t3 + 16t
x''=12t2+16t+7
x''=24t+16
10
Find the derivative: 2x
3
6x3
6x2
2/3x4
Running out of things to put here
11
Find the limit as it approaches ∞
∞
7/2
DNE
-1/5
12
Find the derivative.
- 1 / 2
- 3 / 5
1 / 2
3 / 5
13
Which is a rule for continuity at a point?
f(x) is defined at f(c)
All of the above.....
The limit as x approaches c of f(x) = f(c)
The limit as x approaches c of f(x) exists
14
How were the questions in this quiz?
Hard
Easy
Alright
REALLY FRIGGIN DIFFICULT!!!
15
Find the limit as it approaches -∞
7 / 4
∞
0
-∞
16
lim x→1
+
4
-4
DNE
2
17
Find y' for y = cot(x)
tan2(x)
They look like Twinkies don't they?
csc2(x)
-csc2(x)
18
Which of the following is an indeterminate form?
∞ / 0
0 / 0
Don't really know.
x / 0
19
lim x→0 xsin(x)/∣x∣
0
-32
1
-1
20
Find f(1)
2
DNE
4
-2
21
Differentiate: [That's a 5 and a 30 if you can't see it]
30 (35x4 - 4)(1 - 4x + 7x5)29
30 (35x4 + 4)(1 - 4x - 7x5)29
30 (35x4 + 4)(1 + 4x - 7x5)29
30 (35x4 - 4)(1 + 4x + 7x5)29
22
Find the derivative of y = x
2
e
2
4x2e2
2xe2
Press this to give the moon some Crest. He really needs it!
2x
23
Find the limit as x approaches 0
3 / 5
5 / 3
DNE
0
24
lim x→5 (x
2
+2x-35)/(x
2
-10x+25)
54
DNE
-1
5
25
What is ln 1?
1
0
∞
-1
26
What does the minus sign following a number represent when evaluating limits?
DNE
Subtraction
Right Hand Limit
Left Hand Limit
27
lim Θ ~> 0: sin Θ / Θ (The weird circles are Theta symbols)
0
DNE
1
28
Differentiate with respect to x: cos (5x
3
)
-15x2cos5x3
15x2cos5x3
-15x2sin5x3
15x2sin5x3
29
Differentiate:
6 (3x + 1)
6(3x+1)2
6 (3x - 1)
2 (3x + 1)
30
lim x→∞
NO
∞
-∞
0
31
lim
x→2
(x
2
-4x+4)/(x
2
+x-6)
DNE
∞
0
1
32
Find the limit
J-Lo or Parton? Where's your preference?
0
1
DNE
33
lim x→1
4
0
2
DNE
34
Find the limit as x approaches 4:
1/6
0
DNE
-1/6
35
Differentiate:
-2/(x+1)
2 / (x +1)2
- 2 / (x + 1)2
2/(x + 1)
36
Find the derivative: x
3
cos x
3x2 sin x
-3x2 sin x
-3x2 sin x + x3 cos x
-x3 sin x + 3x2 cos x
37
Find the derivative:
(3 - 2x) / (2 - x)2
(1 - 2x) / (2 - x)2
3 / (2 - x)2
3 / (2 + x)2
38
Find the limit algebraically
None of the above, beside, or diagonal
4
-7
2
39
d/dx (x
3
+1)
2
6x2(x3+1)
2(x3+1)
6x3(x2+1)
7x2(x7+1)
