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Duplicate of Calculus Chapter 3 Flashcards | StudBud
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Duplicate of Calculus Chapter 3
Duplicate of Calculus Chapter 3
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Calculus -- Derivatives for T-day
Flashcards
20 cards
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Questions
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Answers
1
The derivative of y = 5
3x
is
3*53x *ln5
53x * 3
53x * ln5
53x*ln3
2
This function is
an absolute value
hopeless
even
odd
3
Differentiate the function below . . .
y' = -csc2x
y' = -cot2x
y' = cscxcotx
y' = -sinx
4
Differentiate the function below . . .
y' = sec2x
y' = secxtanx
y' = cscxcotx
y' = -cos2x
5
This is the . . . .
Alternate Definition of the Derivative
Definition of the Derivative
Quotient Rule
Power Rule
6
The graph of the derivative of the function below would look like . . . .
a horizontal line
a parabola
a non-horizontal line
a cubic
7
The absolute value of velocity is . . . .
acceleration
nice
speed
negative
8
This function is not differentiable at x = 0 because there is a . . . .
cusp
corner
vertical tangnent
discontinuity
9
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 1
set it equal to 0
simplify
run
10
The graph of the derivative of a function f(x) describes the _____ of f(x).
life
slope
symmetry
asymptotes
11
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
acceleration
a headache
speed
velocity
12
Differentiate the function below . . .
y' = -csc2x
y' = cotx
y' = sec2x
y' = -cscxcotx
13
Differentiate the function below . . .
y' = -6x2
y' = -3
y' = -3x3
y' = -6x
14
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
velocity
speed
acceleration
2 headaches
15
To differentiate the function y = 2xsinx we have to use the . . . .
Produce Rule
Quotient Rule
Product Rule
Power Rule
16
True or False: A function can be continuous but not differentiable at a point.
False
True
17
Differentiate the function below . . .
y' = -csc2x
y' = cotx
y' = sec2x
y' = secxtanx
18
Differentiate the function below . . .
y' = sinx + cosx
y' = tanx + cotx
y' = cosx - sinx
y'= - cosx - sin x
19
Differentiate the function below . . . .
y' = 5x
y' = 4x5
y' = 5x4
y' = x4
20
This function is not differentiable at x = 0 because there is a . . . .
cusp
vertical tangent
corner
discontinuity