(low d hi - hi d low) / low squared

Identify which graph is f, f', and f''.

red = f, green = f', yellow = f''

What is the value of f(0)?

Cannot Solve. Not enough information.

If f(x) is the velocity function, is the object speeding up or speeding down at x = 1?.

No because velocity and accleration have opposite signs

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Duplicate of Chapter 3 Derivatives: Featuring Nick Cage as f prime

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This Quiz is a review of chapter 3 in the AP Calculus curriculum. It focuses on all of the basic rules of differentiation. #calculus #derivatives #apcalcab #mrruhle #nickcage #deriving

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Questions 15

Answers

1
Differentiate y= sin(5x)
5cos(5x)
5cos(x)
5sin(x)
cos(5x)
2
Quotient Rule
(low d hi + hi d low) / low squared
(low d hi - hi d low) / low squared
low d low - hi d hi + low squared
low d hi - low d hi / low squared
3
Solve.
Yes
No
Maybe
I don't know.
4
Identify which graph is f, f', and f''.
red = f, green = f', yellow = f''
yellow= f, green = f', red = f''
red= f, yellow = f', green = f''
green = f, red = f', yellow = f''
5
If f(x) is the position function, f'(x) is
velocity
position
acceleration
speed
6
What is the value of f(0)?
1/2
1
Cannot Solve. Not enough information.
0
7
What is the Product Rule
F x G' + G x F'
F x G' + G' x F
F x G - F' x G'
low d hi - hi d low
8
Find when g''(x) equals zero.
1, 0, 2
-1, 0, 1
-1, 0, 2
0
9
Derive x^π
πxπ-1
xπ-1
πxπ
xπ
10
Find the derivative of x²- 5xy +3y² = 7 using implicit differentiation
(3x-2y)/(2x-6y)
(3x-5y)/(5x+y)
(5x-2y)/(2x-5y)
(2x-5y)/(5x-6y)
11
Derive x⁶ + 3x⁵+ 2x²+ x + 99
6x5 + 8x4 +4x + 1
7x5 + 8x4 +4x +1
6x5 + 15x4 + 4x + 1
6x5 + 15x4 + 4x + 100
12
The derivative of f(g(x)) is...
f'(x)g'(x)
g'(f(x))
f'(g(x))g'(x)
f(x)g'(x)
13
If f(x) is the velocity function, is the object speeding up or speeding down at x = 1?.
No because velocity and acceleration are both negative
Yes because velocity and acceleration are both positive
Yes because velocity and acceleration have the same sign
No because velocity and accleration have opposite signs
14
The derivative of cscx is...
cscxsecx
sinx
-cscxcotx
secxtanx
15
What constitutes a differentiable function?
It is smooth.
It is continuous.
It is smooth and continuous.
All functions are differentiable

Duplicate of Chapter 3 Derivatives: Featuring Nick Cage as f prime Flashcards | StudBud