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