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