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