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