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Calculus Chapter 3 Review Flashcards | StudBud
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Calculus Chapter 3 Review
Calculus Chapter 3 Review
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Calculus -- Derivatives
Flashcards
30 cards
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Practice quiz
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Questions
30
Answers
1
The second derivative of the function below ?
y''= 6x
y''= -3
y''= -6
y''= 6
2
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
speed
velocity
2 headaches
acceleration
3
Sight solving...
12.5
± 5
5
50
4
Evaluate the equation...
0
½
1
-1
5
Sight solving...
-17
1/17
17
0
6
To find horizontal tangents we are looking for when the derivative...
Is decreasing
Is zero
Is increasing
Doesn't exist
7
This is the . . . .
Power Rule
Quotient Rule
Instantaneous Rate of Change
Derivative
8
Differentiate the function below . . . .
y' = 5x
y' = 5x4
y' = x4
y' = 4x5
9
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
acceleration
velocity
a headache
speed
10
The graph of the derivative of a function f(x) describes the _____ of f(x).
horizontal tangents
slope
life
asymptotes
11
When is a particle at rest?
When acceleration is zero
When position is zero
When velocity is zero
When speed is zero
12
The derivative of this function is...
3
-2
-3
2
13
To find the equation for the tangent line to a curve, what should you do first?
Set the equation equal to zero
Take the derivative
Cry
Lie next to it
14
Evaluate...
2
½
1
√3/2
15
Differentiate the function below . . . . at x= -1
4
-1
5
-4
16
The absolute value of velocity is . . . .
negative
nice
speed
acceleration
17
Evaluate the equation below...
½
-1
1
0
18
This function is not differentiable at x = 0 because there is a . . . .
cusp
vertical tangent
corner
discontinuity
19
Differentiate the function below . . .
y' = secxtanx
y' = cotx
y' = sec2x
y' = -csc2x
20
To differentiate the function y = 2xsinx we have to use the . . . .
Product Rule
Power Rule
Quotient Rule
Produce Rule
21
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 1
run
set it equal to 0
simplify
22
My favorite identity...
0
sinx +cosx
1
-1
23
This function is not differentiable at x = 0 because there is a . . . .
vertical tangent
discontinuity
cusp
corner
24
Evaluate...
-1
0
1
2
25
The derivative of this function is
a horizontal line
a parabola
zero
constant
26
Differentiate the function below . . .
y' = -3x3
y' = -3
y' = -6x
y' = -6x2
27
Differentiate the function below . . .
y' = 7
y' = cosx - sinx
y' = sinx + cosx
y' = tanx + cotx
28
True or False: A function can be continuous but not differentiable at a point.
False
True
29
Differentiate the function below . . .
y' = -csc2x
y' = -sinx
y' = -cot2x
y' = cscxcotx
30
My favorite identity...
2
4
no it's not
1
