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