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Duplicate of Calculus Chapter 3 Flashcards | StudBud
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Duplicate of Calculus Chapter 3
Duplicate of Calculus Chapter 3
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Calculus -- Derivatives
Flashcards
20 cards
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Questions
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Answers
1
This is the . . . .
Quotient Rule
Definition of the Derivative
Power Rule
Alternate Definition of the Derivative
2
The Quotient Rule: "low d-hi minus hi d-low over ______ squared."
c
x
high
low
3
Differentiate the function below . . .
y' = -6x2
y' = -6x
y' = -3x3
y' = -3
4
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
speed
2 headaches
velocity
acceleration
5
The graph of the derivative of the function below would look like . . . .
a horizontal line
a non-horizontal line
a cubic
a parabola
6
Differentiate the function below . . . .
y' = 4x5
y' = 5x
y' = x4
y' = 5x4
7
This function is not differentiable at x = 0 because there is a . . . .
cusp
discontinuity
vertical tangent
corner
8
Differentiate the function below . . .
y' = -csc2x
y' = -cot2x
y' = cscxcotx
y' = -sinx
9
Differentiate the function below . . .
y' = cosx - sinx
y' = sinx + cosx
y' = 7
y' = tanx + cotx
10
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
11
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
vertical tangnent
cusp
corner
12
Differentiate the function below . . .
y' = secxtanx
y' = sec2x
y' = -csc2x
y' = cotx
13
Differentiate the function below . . .
y' = cscxcotx
y' = sec2x
y' = secxtanx
y' = -cos2x
14
This function is not differentiable at x = 0 because there is a . . . .
corner
cusp
discontinuity
vertical tangent
15
True or False: A function can be continuous but not differentiable at a point.
False
True
16
To differentiate the function y = 2xsinx we have to use the . . . .
Quotient Rule
Produce Rule
Product Rule
Power Rule
17
The absolute value of velocity is . . . .
nice
speed
acceleration
negative
18
Differentiate the function below . . .
y' = cotx
y' = -cscxcotx
y' = sec2x
y' = -csc2x
19
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
acceleration
a headache
velocity
speed
20
The graph of the derivative of a function f(x) describes the _____ of f(x).
life
slope
symmetry
asymptotes