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Review before Calculus 3.1-3.3 Quiz & Intro to 3.4 Flashcards | StudBud
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Review before Calculus 3.1-3.3 Quiz & Intro to 3.4
Review before Calculus 3.1-3.3 Quiz & Intro to 3.4
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Calculus -- Derivatives #calculus
Flashcards
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Questions
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Answers
1
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 1
run
simplify
set it equal to 0
2
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
speed
a headache
velocity
acceleration
3
To differentiate the function y = 2xsinx we have to use the . . . .
Quotient Rule
Produce Rule
Power Rule
Product Rule
4
This function is not differentiable at x = 0 because there is a . . . .
vertical tangent
corner
discontinuity
cusp
5
The absolute value of velocity is . . . .
acceleration
negative
speed
nice
6
This function is not differentiable at x = 0 because there is a . . . .
cusp
corner
vertical tangent
discontinuity
7
True or False: A function can be continuous but not differentiable at a point.
True
False
8
Differentiate the function below . . .
y' = -3x3
y' = -6x2
y' = -6x
y' = -3
9
The Quotient Rule: "low d-hi minus hi d-low over ______ squared."
x
high
low
c
10
The graph of the derivative of a function f(x) describes the _____ of f(x).
slope
symmetry
asymptotes
life
11
Differentiate the function below . . .
y' = tanx + cotx
y' = 7
y' = cosx - sinx
y' = sinx + cosx
12
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
vertical tangnent
cusp
corner
13
This is the . . . .
Definition of the Derivative
Power Rule
Alternate Definition of the Derivative
Quotient Rule
14
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
2 headaches
acceleration
speed
velocity
15
Differentiate the function below . . . .
y' = x4
y' = 5x4
y' = 4x5
y' = 5x