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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
17 cards
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Questions
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Answers
1
The graph of the derivative of a function f(x) describes the _____ of f(x).
life
slope
asymptotes
symmetry
2
Differentiate the function below . . .
y' = cotx
y' = -csc2x
y' = sec2x
y' = secxtanx
3
Estimate the limit as x approaches -∞
∞
-∞
-1
1
4
The graph of the derivative of the function below would look like . . . .
a horizontal line
Isaac Newton
a diagonal line
a parabola
5
Differentiate the function below . . .
y' = cosx - sinx
y' = 7
y' = tanx + cotx
y' = sinx + cosx
6
Differentiate the function below . . .
y' = -cot2x
y' = -sinx
y' = cscxcotx
y' = -csc2x
7
What is the derivative evaluated at x = -2
x
1
-1
2
8
Estimate the limit as x approaches 3
undefined
3
-3
infinity
9
The slope of the tangent at a maximum or minimum of a function is
1
infinity
0
undefined
10
Differentiate the function below . . .
y' = -csc2x
y' = -cscxcotx
y' = cotx
y' = sec2x
11
Differentiate the function below . . .
y' = -cos2x
y' = sec2x
y' = cscxcotx
y' = secxtanx
12
The Quotient Rule: "u'v-uv' all over _____________"
v2
v
u2
u
13
Differentiate the function below . . .
y' = -3x3
y' = -3
y' = -6x
y' = -6x2
14
True or False: the word "Derivative" essentially means slope
True
False
15
Differentiate the function below . . . .
y' = 5x
y' = 4x5
y' = x4
y' = 5x4
16
This is the . . . .
Quotient Rule
Definition of the Derivative
Alternate Definition of the Derivative
Power Rule
17
To find the derivative of y = 2xsinx, we would use the . . . .
Power Rule
Quotient Rule
Product Rule
Chain Rule
