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