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Calculus -- Derivatives #calculus
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Answers
1
The graph of the derivative of a function f(x) describes the _____ of f(x).
symmetry
asymptotes
slope
life
2
To differentiate the function y = 2xsinx we have to use the . . . .
Product Rule
Produce Rule
Quotient Rule
Power Rule
3
derivative of (arctan(4x))
4x/(1+16x2)
-artcot(4x)
4/(1+16x2)
4/(1+4x2)
4
The DERIVATIVE of ln(x)is...
1/x
ex
Does not exist
ln(x)
5
Find dy/dx by implicit differentiation
dy/dx = (2x-9+12y)/(2y-12x)
dy/dx = (2x+9-12y)/(2y-12x)
dy/dx = (2x+9+12y)/(2x-12y)
dy/dx = (2x+9+12y)/(2y-12x)
6
Who has the highest net-worth as of April 2021?
Elon Musk
Jeff Bezos
Mark Zuckerberg
Bill Gates
7
Who is this?
Megan Thee Stallion
Ariana Grande
Oprah Winfrey
Lizzo
8
True or False: A function can be continuous but not differentiable at a point.
True
False
9
This is the . . . .
Definition of the Derivative
Alternate Definition of the Derivative
Power Rule
Quotient Rule
10
Logo: What fast food place is this?
Taco Bell
Chick-Fil-A
Burger King
Wendys
11
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
velocity
acceleration
speed
2 headaches
12
Which princess did not have a love interest?
Merida
Tiana
Pocahontas
Rapunzel
13
Which is Eminem?
none
Middle
right
Left
14
In the U.S. they're called "Cool Ranch Doritos," but what do other countries call this flavor?
Garlic and Dill
Rodeo
Cool American
Fresh and Fancy
15
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
corner/sharp point
vertical tangnent
cusp
16
Which of these princesses had a tiger as a pet?
Pocahontas
Merida
Jasmine
Mulan
17
Differentiate the function below . . .
y' = sinx + cosx
y' = cosx - sinx
y' = 7
y' = tanx + cotx
18
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 0
run
set it equal to 1
simplify
19
This function is not differentiable at x = 0 because there is a . . . .
corner
vertical tangent
discontinuity
sharp point
20
Who recruited Spider-Man in Captain America Civil War?
The Vision
Tony Stark
Steve Rogers
Col. Nick Fury
21
The Quotient Rule: "low d-hi minus hi d-low over ______ squared."
low
c
high
x
22
The absolute value of velocity is . . . .
nice
negative
speed
acceleration
23
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
acceleration
speed
velocity
a headache
24
Elon Musk is the founder of what?
Ferrari
McDonald's
Tesla
IBM
25
I can use L'Hopitals rule for the calculation in the image.
No.
Yes, because it would give inf/inf.
Yes, because it would give 0/0.
Yes, because it would give -inf/-inf.
26
Differentiate the function below . . . .
y' = 5x
y' = 5x4
y' = x4
y' = 4x5
