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