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AP Calculus Ch. 3 Derivatives Flashcards | StudBud
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AP Calculus Ch. 3 Derivatives
AP Calculus Ch. 3 Derivatives
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AP Calculus Derivatives
Flashcards
14 cards
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Practice quiz
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Questions
14
Answers
1
What does the image describe?
derivative of exponential functions
derivative of polynomial functions
derivative of any function
derivative of periodic functions
2
Given the 3 functions below, determine which functions are the derivatives of the others.
I = II', III = I'
I = II', III = II'
I = II', II = III'
II = I', I = III'
3
Find dy/dx: y
2
- 2x - 4y - 1 = 0
1/(y - 2)
3/y
3/y, y ≠ 0
1/(y - 2), y ≠ 2
4
Find
dy
/
dx
if y = sec x
sec2 x
-csc x * cot x
-csc2 x
sec x * tan x
5
Find
dy
/
dx
if y = √(x
2
+ 2x).
(x+1)/√(x2+2x)
1/√(2x + 2)
2x + 2
1/2√(x2+2x)
6
Find
dy
/
dx
if y = sin x.
cos x
tan x
sec x * tan x
-cos x
7
Which notation below does NOT represent the derivative of a function?
y/x
d/dx (y)
dy/dx
y'
8
Find
dy
/
dx
if y = tan x
-csc2 x
sec2 x
sec x * tan x
cos x
9
Find y' if y = log
10
e
x
x * ln 10(x - 1)
ln 10
1 / 10x
1 / (ln 10)
10
Find y' if y = cos
-1
(x
2
+ 3x)
-1/√(1 - x4 + 9x2) * 2x + 3
-1/√(1 - x4 + 9x2) * (2x + 3)
-1/√(1 - (x2 + 3x)2) * 2x + 3
-1/√(1 - (x2 + 3x)2) * (2x + 3)
11
There are 4 ways a function is NOT differentiable. Which choice below is NOT one of them?
Cusp
Discontinuity
Corner
Jerk
12
Find
dy
/
dx
if y = sin (x
2
+ x)
2x + 1
cos (x2 + x)
(2x + 1)cos (x2 + x)
-(2x + 1)cos (x2 + x)
13
Find y' if y = 3x
3
+ 2x - 4.
9x2 + 2x - 4
3x2 + 2x
9x2 + 2
9x3 + 2x - 4
14
Can you explain the Intermediate Value Theorem for derivatives?
I like penguins.
Yes! I totally get this.
Is today Wednesday?
Did we talk about this in class?!?
