Differentiate using implicit differentiation: y = sin (3x + 4y)

3 cos(3x + 4y) / 1 - 4 cos (3x + 4y)

Differentiate using quotient rule:

(1 / x) + x + 2x ln x + (ln x / x) / (x2 + ln x)2

Differentiate using product rule:

All of the above....., x2(1 + 3 ln x)

Differentiate using chain rule:

4x3/5 (16 + 3x5) / 5(8 - x5)9/5

Differentiate using quotient rule:

Here's some free Kahoots. You're welcome., 20x4 + 59x2 - 14 / (5x2 + 2)2

Differentiate using product rule:

6x3/2 sec2x + 9x1/2 tan x, 3x1/2 (2x sec2x + 3 tan x)

What is the definition of the derivative?

Instantaneous rate of change, dy/dx, Slope of the tangent line

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Duplicate of How do Calculus?

165 termsStudBud Administration103 plays

A calculus overload. Has some trivia too.

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Questions 165

Answers

1
Find the anti-derivative: ∫ sin 3x dx
cos 3x / 3 + C
-sin 3x / 3 + C
Find that inteegrull
-cos 3x / 3 + C
2
Which artist won the most grammy awards on a single night?
Quincy Jones
Beyonce
Kendrick Lamar
Michael Jackson
3
What cinematic universe do these characters come from?
Lord of the Rings
Marvel
Star Wars
DC comics
4
What animal lives the longest?
Galapagos tortois
Ocean quahog (clam)
Rougheye rockfish
Red sea urchin
5
Differentiate using implicit differentiation: y = sin (3x + 4y)
3 cos(3x + 4y) / 1 - 4 cos (3x + 4y)
3 cos(3x + 4y) / 1 + 4 cos (3x + 4y)
3 cos(3x + 4y) / 1 + 4 cos (3x + 4y)
3 cos(3x - 4y) / 1 - 4 cos (3x + 4y)
6
Differentiate using quotient rule:
(1 / x) + x + 2x ln x + (ln x / x) / (x2 + ln x)2
(1 / x) - x - 2x ln x + (ln x / x) / (x2 - ln x)2
(1 / x) + x - 2x ln x + (ln x / x) / (x2 - ln x)2
(1 / x) - x + 2x ln x + (ln x / x) / (x2 + ln x)2
7
Find the limit
DNE
0
1
J-Lo or Parton? Where's your preference?
8
Use the product rule (ab' + a'b) to find the derivative: x³ cos x
3x2 (-sin x) + x3 cos x
x3 (-sin x) + 3x2 cos x
3x2 cos x + x3 (-sin x)
x3 cos x + 3x2 (-sin x)
9
Differentiate using chain rule: [That's a 5 and a 30 for all you blind people]
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
10
What is the name of my most recent album?
808's and heartbreaks
Graduation
The life of Pablo
Dark beautiful twisted fantasy
11
Which is the most recent sport to be invented?
Basketball
Water polo
Mixed Martial Arts
Table Tennis
12
What does this character enjoy?
Stars
Dinosaurs
Mushrooms
Bowser
13
Find the limit as x approaches 4:
-(x - 4) / (x - 4) (3 + <x + 5>)
-(x + 4) / (x - 4) (3 - <x + 5>)
DNE
IDC (sq. root = <>)
14
Which 1993 American science-fiction adventure film involved a theme park from cloned dinosaurs?
Jurassic Park 3
Jurassic Park 2
Jurassic World
Jurassic Park
15
How did stonehenge get created?
Aliens
U.S.A.
Ancient civilizations
Nobody knows...
16
Where does this character live?
Earth
Space
Degobah
My back yard
17
Find the anti-derivative: csc x cot x
csc x
-csc x
Running out of things to say here.....again.
-sec x
18
What is ALWAYS the derivative of a constant?
1
Really? You should know this.....
0
x
19
What does Peter Quill listen to?
Ipod
Walkman
Record Player
CD player
20
lim x→∞
0
-∞
NO
∞
21
Differentiate using product rule:
x2(1 - 3 ln x)
x2 + 3x3 ln x
All of the above.....
x2(1 + 3 ln x)
22
Which of the following bands/people has NOT been inducted into the Rock and Roll Hall of Fame?
AC / DC
Elvis Presley
Willie Nelson
Metallica
23
Find the derivative: 2x³
6x3
2/3x4
Running out of things to put here
6x2
24
Differentiate using chain rule:
6 (3x + 1)
6 (3x - 1)
25
Which of the following is the indeterminate form?
∞ / 0
x / 0
0 / 0
Don't really know.
26
f(1)
DNE
2
4
-2
27
Differentiate using chain rule:
Cut off your hand.....
26x + 5 / 2 <13x2 + 5x - 8>
26x - 5 / 2 <13x2 - 5x + 8>
sq. root sign = <>
28
lim x→5 (x²+2x-35)/(x²-10x+25)
-1
54
5
DNE
29
Differentiate using chain rule and product rule: y = 7xe^{x^2}
7ex^2(2x2 - 1)
7ex^2(2x2 + 1)
30
Differentiate using chain rule:
4x3/5 (16 + 3x5) / 5(8 + x5)9/5
4x3/5 (16 + 3x5) / 5(8 - x5)9/5
4x3/5 (16 - 3x5) / 5(8 + x5)9/5
4x3/5 (16 - 3x5) / 5(8 + x5)9/5
31
Who discovered America?
Christopher Columbus
Native Americans
Pretty much everyone before
Vikings
32
What year was Snapchat created?
2016
2015
2011
2013
33
Find the anti-derivative for y: y' = 2x + 3
y = 2x2 + x3 + c
I don't have a freaking clue
y = 2x + c
y = x2 + 3x + c
34
Differentiate using quotient rule:
Here's some free Kahoots. You're welcome.
20x4 + 59x2 - 14 / (5x2 + 2)2
35
Find the limit to x as it approaches 2
+C
11 / 4
14 / 4
5
36
Find the derivative using its limit definition:
-1 / 2 <x - 3>
-1 / 2 <x + 3>
2 / <x - 3>
2 / <x + 3>
37
Differentiate using product rule:
6x3/2 sec2x + 9x1/2 tan x
DNE, ABC, 123, Do Re Mi
3x3/2 (2x sec2x + 3 tan x)
3x1/2 (2x sec2x + 3 tan x)
38
Where does this character live?
Mushroom Kingdom
Hogwarts
Mordor
Hyrule
39
What is the definition of the derivative?
Instantaneous rate of change
dy/dx
Slope of any line
Slope of the tangent line
40
Integrate using integration by parts:
-x cos x + sin x + C
-x sin x + cos x + C
41
Who was the first person to land a 900 on BMX?
Matt Hoffman
George Harrison
Tony Hawk
Shawn White
42
How many colors are on a rainbow?
7
8
6
5
43
Find the derivative using the limit definition (f (x + Δx) - f(x) / Δx) )
- 3 / 5
3 / 5
1 / 2
- 1 / 2
44
Which element is K?
Karbon
Krypton
Potassium
Kalcium
45
What are these two character's names?
Jack and Roger
Jake and Finn
Red and Blue
Mario and Luigi
46
Halftime for the 2016 Super Bowl was NOT preformed by who?
The Weeknd
Coldplay
Bruno Mars
Beyoncé
47
Find the derivative using limit definition: f(x) = x^2/3
2 / 3x1/3
3 / 2x1/2
48
What is this character's real name?
Clark Kent
Peter Parker
Bruce Banner
Mr. Jenkins
49
∫ x²cos(x³) dx
IE used Scary Face! It doesn't affect foe Firefox!
2x/3sin(x3)+c
1/3sin(x3)+c
-1/3sin(x3)+c
50
lim Θ ~> 0: sin Θ / Θ (The weird circles are Theta symbols)
0
It's either one or the other
Get it wrong and get slapped
1
51
Find the derivative of y = x²e²
2x
4x2e2
2xe2
Press this to give the moon some Crest. He really needs it!
52
Which is NOT an Olympic sport?
Wrestling
Water Polo
Jujitsu
Ping Pong
53
Differentiate using implicit differentiation: (y = x²y³ + x³y²)
y' = 2xy2 + 3x3y3 / 1 - 3x3y3 - 2x2y
y' = 2xy3 - 3x2y2 / 1 + 3x2y2 - 2x3y
y' = 2xy3 + 3x2y2 / 1 - 3x2y2 - 2x3y
y' = 2xy2 - 3x3y3 / 1 - 3x3y3 + 2x2y
54
Which Country has the most mountains?
Iceland
Greenland
Indonesia
United States
55
Which U.S. state would you find "Stone Mountain"?
Wyoming
Montana
South Carolina
Georgia
56
Find the derivative by using the limit definition:
10x - 3
10x + 3
57
∫ x/(x²+4) dx
(1/3)ln∣x2+4∣+c
(1/2)ln∣x2+5∣+c
(1/2)ln∣x2+4∣+c
Haha very funny. You're gonna need rescuing again you know.
58
Which of the following countries is not located in Europe?
Germany
Greece
India
Russia
59
What is the first step in optimization?
Picture / notation
Relation
Rip the paper up and throw it away and/or destroy Chromebook
Given and unknowns
60
Which of the following is the Volume of a Cone? (The next 10 questions are trivia, you're done)
V = 4/3πr3h
V = 2πrh
V = πr2h
V = πr2h / 3
61
What is lm mⁿ?
m ln n
n ln m
62
Which is a rule for continuity at a point?
The limit as x approaches c of f(x) exists
f(x) is defined at f(c)
The limit as x approaches c of f(x) = f(c)
All of the above.....
63
Differentiate using quotient rule:
7x (8ex - 4xex - x) / (4ex - x)2
7x (8ex + 4xex - x) / (4ex + x)2
64
How did you like this game?
I hated it
It was fun
IT WAS AWESOME!!
It was meh
65
Find the limit as x approaches ∞
1 / 3
0
DNE
66
Which of the following is a method for finding anti-derivative?
u-Substiution
Product Rule
Chain Rule
Quotient Rule
67
Differentiate product rule: [D {f(x)g(x) }= f(x)g'(x) + f'(x)g(x) ] ~ y = (x³ + 7x - 1)(5x + 2)
9 + 70x + 6x2 + 20x3
70x + 6x2 + 9 + 20x3
6x2 + 20x3 + 9 + 70x
20x3 + 6x2 + 70x + 9
68
Differentiate with respect to x: cos 5x³
-cos5x3 * 15x2
sin5x3 * 15x2
-sin5x3 * 15x2 (It's this one I swear!)
cos5x3 * 15x2
69
Differentiate using quotient rule (D {f(x) / g(x)} = (g(x) f'(x) - f(x) g'(x) / {g(x)}²⁾
20x4 - 59x2 + 14 / (5x2 - 2)2
59x4 - 20x2 + 14 / (4x3 - 7x)2
59x4 + 20x2 - 14 / (4x3 - 7x)2
20x4 + 59x2 - 14 / (5x2 + 2)2
70
What is the name of my husband?
Jay-Z
Kendrick Lamar
Post Malone
Shawn Carter
71
Find y' for y = cot(x)
csc2(x)
tan2(x)
-csc2(x)
They look like Twinkies don't they?
72
Kopi Luwak is a very expensive type of what?
Coffee
Clothing Brand
Automobile
Chocolate
73
Find the limit algebraically
4
-7
2
None of the above, beside, or diagonal
74
d/dx (x³+1)²
6x3(x2+1)
6x2(x3+1)
7x2(x7+1)
Imma Rage Quit!!!
75
Integrate using u-substitution: ∫ (2x + 5)(x² + 5x)⁷ dx
(1/2)(x2 + 5x)8 + C
(1/8)(x2 + 5x)8 + C
(1/8)(x8 + 5x)2 + C
(1/8)(x2 - 5x)8 + C
76
Differentiate using implicit differentiation: y = e^xy = e^4x - e^5y
y' = (4e4x - yexy) / (xexy + 5e5y)
y' = (4e5x + yexy) / (xexy - 5e4y)
y' = (4e4x + yexy) / (xexy - 5e5y)
y' = (4e5x - yexy) / (xexy + 5e4y)
77
Which of the following dogs is the smallest?
Poodle
Pomeranian
Dachshund
Chihuahua
78
Find the derivative using limit definition:
3 / (2 - x)2
3 / (2 + x)2
79
Find the limit as it approaches -∞
0
DNE
7 / 4
IRDC!!!
80
What is ln 1?
0
1
-1
∞
81
∫sin3x dx
-(cos3x)/3 + c
(cos3x)/3 + c
-(cos3x)/3 + 3
You lost the game!!
82
The Emmy for outstanding Comedy Series (2017) was awarded to what show?
Veep
Atlanta
Master of None
Transparent
83
What year did humans first travel into space?
1968
1961
1978
1951
84
lim x→∞ (√x²-3x)/(2x+1) no calculator
-1/12
1/2
∞
*Ejects seat
85
Find implicit differentiation of y = x³ + y³ = 4
y2 / x2
x2 / y2
-x2 / y2
-y2 / x2
86
lim _x→5(x)/(x²-25)
5
25
DNE
It's-a Luigi time!
87
What is this person's middle name?
Trump
Howard
John
Wiliiams
88
Which of the following is the formula for the Volume of a Sphere?
V = 4 / 3πr3
V = 2πr
V = πr2h / 3
V = 4πr2
89
Differentiate using quotient rule: (those are x's)
6x (ln 3 - ln 2) / (2x - 3x)2
6x (ln 3 - ln 2) / (2x + 3x)2
6x (ln 3 + ln 2) / (2x - 3x)2
6x (ln 3 + ln 2) / (2x + 3x)2
90
How many different countries are there on this planet?
190
7
195
205
91
Who led the first expedition to sail across the ocean blue?
Rose Parkson
Ferdinand Magellan
Lewis and Clark
Christopher Columbus
92
The single with the longest run (15 weeks) at the top of the British chart in 2016 was:
Say You Won't Let Go
Cold Winter
One Dance
7 years
93
What year was the first iPhone released?
2007
2008
2005
2003
94
What type of animal is a seahorse?
Shell
Fish
Crustacean
Arachnid
95
What team won the 2017 NBA championship?
Boston Celtics
Golden State Warriors
Philadelphia 76ers
Cleveland Cavaliers
96
What is the first advancement of a jujitsu player?
Move to the ground
Strike
Submission
Advance Position
97
How many infinity stones are there in the Marvel Cinematic Universe?
5
6
infinity
zero
98
What is this guy's real name?
Aubrey
Michael
Shawn
Drake
99
Which of the following is the Area of a Circle?
C = 2πr
C = πr2
100
Which element starts with K?
Karbon
Kalcium
Krypton
Potassium
101
What superhero do I play in movies?
Iron Man
Hulk
Captain America
Batman
102
Which of the following singles did not reach #1 in America?:
Can't Stop the Feeling
Work
7 years
Panda
103
What is the f-word in physics? (The one dealing with combination of nuclei)
Friction
Fusion
Fission
Fillabuster
104
lim _x→2(x²-4x=4)/(x²+x-6)
OH YES IT WAS!!
1
DNE
0
105
What is the name of the sequence that can describe the growth of flowers to the ocean's waves?
Jenkins' sequence
Newtonian's sequence
Vibrainium's sequence
Fibonacci's sequence
106
f(2)
6
-1
1
2
107
What are female elephants called?
Cows
Sows
Mares
Dams
108
Find the limit as it approaches ∞
7 - (1 / x) - (100 / x2) / 2 + (5 / x)
7 + (1 / x) - (100 / x2) / 2 - (5 / x)
109
What is the airspeed velocity of an unladen swallow?
African or European?
Please Help.....
0
What?
110
Differentiate using product rule:
15 - 8x3 / x6
- 15 + 8x3 / x6
Do or do not, there is no try.
111
Which of the following does NOT belong to the animal kingdom?
Leafy Seadragon
Blobfish
Strumblefrog
Aye-Aye
112
What sport does this person compete in?
MMA
Soccer
Football
Boxing
113
What is ln e?
-1
0
DNE
1
114
The Summer Olympics (2016) were held in:
Rio De Janeiro
South Korea
Sao Paolo
London
115
What is the fastest water animal?
Flashfish
Sailfish
Flying fish
Tuna
116
How many U.S. states border the Gulf of Mexico?
2
1
5
6
117
What player in the NBA has the most MVP trophies?
Tim Duncan
Michael Jordan
Kareem Abdul-Jabbar
Lebron James
118
Find the limit as x approaches 3:
Who knows?
30 / 7
108 / 7
119
What year was the Nintendo Company created?
1975
1985
1992
1989
120
Integrate using integration by parts: ∫ x ln x dx
(x2 / 2) ln x + (1/4)x2 + C
(x2 / 2) ln x - (1/4)x2 + C
121
d/dx x²sin(2x)
2x (sin(2x) + x cos(2x) )
2x (cos(2x) + x sin(2x) )
<-- It's that one I swear!
2x (sin(2x) - x cos(2x) )
122
Which movie won the Academy Award for best picture in 2017?
The Shape of Water
Get Out
Three Billboards Outside Ebbing Missouri
Dunkirk
123
Who invented most of the modern day street-skateboarding tricks?
Kareem Campbell
Rodney Mullen
Tony Hawk
Eric Koston
124
Differentiate using product rule:
ex (-1 - 14√x - 2x) / 2√x
ex (-1 + 14√x - 2x) / 2√x
ex (-1 - 14√x + 2x) / 2√x
ex (-1 + 14√x + 2x) / 2√x
125
How many holes are there in a full round of Golf?
9
10
20
18
126
Which color is not a variation of Green?
Absynth
Fuschia
Verde
Celadon
127
What came first: The chicken or the egg?
Egg
Who Knows
Chicken
Same time
128
How many presidents are on the $100 bill?
1
2
0
4
129
What's the ballet term for a 360-degree turn on one foot?
Silhoulette
Pirouette
Timoruette
Duh...a one foot turn....
130
Find the limit as is approaches 1 [Top exp. = 1 / 3; Bottom exp. = 1 / 4]:
(x - 1) (x1/4 + 1) (x1/2 + 1) / (x2/3 + x1/3 + 1) (x - 1)
I know you don't want to do this after seeing that choice.
131
What is the proper name for a group of Parrots?
Group of birds
Parrtem
Pandemonium
Parritorium
132
The Emmy for Outstanding Drama Series (2016) was won by:
Homeland
House of Cards
The West Wing
Game of Thrones
133
Which of the following is the Surface Area of a Sphere?
SA = 4/3πr2
SA = 2πr
SA = πr2h / 3
SA = 4πr2
134
if f(x) = ln ( x + 4 + e^(-3x) ) then f'(0)=
0
-2/5
Can you find Waldo?
8/5
135
lim x→1⁺
4
-4
DNE
2
136
How many bones are in a dog's body?
401
245
319
471
137
In what sport does a jammer score a point for each opponent she skates past?
Roller Derby
Speed skating
Lodge
Skateboarding
138
What does a cat eat?
Cat food
Fish
Zaxbys
Tuna
139
lim x→1
4
2
0
DNE
140
Integrate using u-substitution: ∫ (3 - x)¹⁰ dx [Breath easy the next 10 are text questions)
(1 / 11)(3 + x) + C
(-1 / 11)(3 - x)11 + C
(-1 / 11)(3 - x) + C
(1 / 11)(3 - x)11 + C
141
In science, how long is an Eon?
Million years
Billion years
Trillion years
100 Million years
142
lim x→0 x²/((√x²+12 )-(√12))
√12
2√12
Can I have that in English please?
2
143
lim x→0 xsin(x)/∣x∣
1
0
-1
-32
144
Differentiate using chain rule:
4x6 - 5 / 3x8/3 (4x6 - 1)2/3
4x6 + 5 / 3x8/3 (4x6 - 1)2/3
4x6 + 5 / 3x8/3 (4x6 + 1)2/3
4x6 - 5 / 3x8/3 (4x6 + 1)2/3
145
Of all #'s with sum of 390, find the 2 that have th max. product. Max. Q = xy where x + y = 360
195 (this is optimization)
180 (max. = maximum)
Follow your instincts.....
130
146
Find the derivative (Product Rule): tan x sec x
-sec2x (sec x) + cot x (sec x tan x)
csc2x (csc x) + tan x (csc x cot x)
sec2x (sec x) + tan x (sec x tan x)
-csc2x (csc x) + cot x (csc x cot x) [This is it!]
147
Where would you find the Sea of Tranquility?
Mississippi
The moon
Iceland
Norway
148
Find the limit as x approaches 0
5 / 3
3 / 5
149
Find the limit as it approaches -∞
1 / 3
DNE
Win and gain immortality, lose and die!
0
150
Use implicit differentiation to find dy/dx in terms of x and y: 3x = -y³ + 2
3x / -y3
3 / -y2
YOLOSWAGBRUH420MLGPROFAZEOPTIC360NOSCOPEOFDOOM!!!!!!!!!!
1 / -y2
151
What perfect square number is the sum of two other perfect square numbers?
9
16
25
36
152
What color are zebras?
Black with white stripes.
White with black stripes.
None of the above.
Both of the above.
153
Integrate using integration by parts:
xex + ex + C
xex - ex + C
154
Rock, Paper, Scissors?
Paper
Scissors
Rock
155
Find the limit as x approaches ∞
∞
-∞
156
Find the second derivative with respect to time x = 4t³+8t²+7t+18
x''=24t+16
a=24t+16
x''=24t+15
x''=12t2+16t+7
157
What is the biggest animal that has ever lived?
Apatosaurus (aka brontosaurus)
African elephant
Blue whale
T-rex
158
Do two wrongs make a right?
No, but three lefts make a right
Yes
No
Maybe
159
Differentiate using quotient rule:
2 / (x - 1)2
- 2 / (x + 1)2
160
In sports, what does the acronym MVP stand for?
Major Victory Plus
Most Victorious Player
Most Valuable Player
Major Valuable Player
161
The U.K.'s withdrawal from the European Union is known by the portmanteau:
Britexit
Briexit
Brexit
Brixit
162
True or False: Mr. Jenkins owns several animals?
False
True
163
What does - (minus) represent in limits? (Careful, you only have 10 seconds!!)
DNE
RHL
ABC
LHL
164
How were the questions in this quiz?
REALLY FRIGGIN DIFFICULT!!!
Aight
Hard
Easy
165
Are you allowed to speed 7 mph over the limit if no one is on the road??
Yes
NEVER
Sometimes
No

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