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