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