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