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Duplicate of Duplicate of Calculus Chapter 3 Flashcards | StudBud
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Duplicate of Duplicate of Calculus Chapter 3
Duplicate of Duplicate of Calculus Chapter 3
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Calculus -- Derivatives #calculus
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Questions
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Answers
1
True or False: A function can be continuous but not differentiable at a point.
False
True
2
The graph of the derivative of a function f(x) describes the _____ of f(x).
symmetry
asymptotes
life
slope
3
To find a horizontal tangent to a function f, take its derivative and . . .
simplify
run
set it equal to 0
set it equal to 1
4
The Quotient Rule: gf ' - fg'/ ?
f
g
g2
f2
5
This function is not differentiable at x = 0 because there is a . . . .
corner
vertical tangent
discontinuity
cusp
6
This is the . . . .
Power Rule
Alternate Definition of the Derivative
Definition of the Derivative
Quotient Rule
7
The absolute value of velocity is . . . .
negative
acceleration
speed
nice
8
The graph of the derivative of the function below would look like . . . .
a non-horizontal line
a parabola
Hunter Austing
a horizontal line
9
This function is not differentiable at x = 0 because there is a . . . .
corner
cusp
vertical tangnent
discontinuity
10
Differentiate the function below . . .
y' = -3x3
y' = -6x
y' = -6x2
y' = -3
11
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
acceleration
speed
velocity
2 headaches
12
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
velocity
acceleration
speed
a headache
13
This function is not differentiable at x = 0 because there is a . . . .
cusp
discontinuity
vertical tangent
corner
14
Differentiate the function below . . . .
y' = 5x
y' = x4
y' = 4x5
y' = 5x4