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Calculus Rules Chapter 2 Flashcards | StudBud
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Calculus Rules Chapter 2
Calculus Rules Chapter 2
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Calculus -- Derivatives
Flashcards
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Questions
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Answers
1
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 1
simplify
set it equal to 0
run
2
True or False: A function can be continuous but not differentiable at a point.
True
False
3
This function is not differentiable at x = 0 because there is a . . . .
cusp
corner
vertical tangnent
discontinuity
4
Differentiate the function below . . .
y' = -3x3
y' = -6x2
y' = -6x
y' = -3
5
This is the . . . .
Power Rule
Definition of the Derivative
Quotient Rule
Alternate Definition of the Derivative
6
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
cusp
corner
vertical tangent
7
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
cusp
vertical tangent
corner
8
Differentiate the function below . . . .
y' = 4x5
y' = 5x4
y' = 5x
y' = x4
9
The graph of the derivative of a function f(x) describes the _____ of f(x).
symmetry
life
slope
asymptotes
10
The graph of the derivative of the function below would look like . . . .
a non-horizontal line
a parabola
John Peschel
a horizontal line