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