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