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