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Differentiation basics Flashcards | StudBud
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Differentiation basics
Differentiation basics
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Calculus -- Derivatives
Flashcards
13 cards
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Questions
13
Answers
1
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
velocity
acceleration
speed
2 headaches
2
The graph of the derivative of the function below would look like . . . .
a parabola
a non-horizontal line
An Apple
a horizontal line
3
This function is not differentiable at x = 0 because there is a . . . .
corner
cusp
vertical tangent
discontinuity
4
The graph of the derivative of a function f(x) describes the _____ of f(x).
slope
asymptotes
symmetry
life
5
True or False: A function can be continuous but not differentiable at a point.
True
False
6
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 1
run
simplify
set it equal to 0
7
Differentiate the function below . . . .
y' = 4x5
y' = x4
y' = 5x
y' = 5x4
8
The absolute value of velocity is . . . .
negative
speed
nice
acceleration
9
This is the . . . .
Power Rule
Definition of the Derivative
Quotient Rule
Alternate Definition of the Derivative
10
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
velocity
speed
a headache
acceleration
11
This function is not differentiable at x = 0 because there is a . . . .
cusp
vertical tangent
corner
discontinuity
12
Differentiate the function below . . .
y' = -3
y' = -6x2
y' = -6x
y' = -3x3
13
This function is not differentiable at x = 0 because there is a . . . .
corner
cusp
vertical tangnent
discontinuity