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