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