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