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