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Basics of Derivatives Flashcards | StudBud
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Basics of Derivatives
Basics of Derivatives
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Calculus -- Derivatives
Flashcards
16 cards
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Questions
16
Answers
1
Differentiate the function below . . . .
y' = 4x5
y' = 5x
y' = 5x4
y' = x4
2
To differentiate the function y = 2xsinx we have to use the . . . .
Produce Rule
Quotient Rule
Power Rule
Product Rule
3
The graph of the derivative of a function f(x) describes the _____ of f(x).
asymptotes
life
symmetry
slope
4
True or False: A function can be continuous but not differentiable at a point.
False
True
5
The Quotient Rule: "low d-hi minus hi d-low over ______."
high high
c
low2
low low
6
If s(t) is the position function of an object, the first derivative of s(t) gives us . . . .
velocity
speed
a headache
acceleration
7
This function is not differentiable at x = 0 because there is a . . . .
cusp
discontinuity
vertical tangnent
corner
8
Differentiate the function below . . .
y' = -3
y' = -3x3
y' = -6x
y' = -6x2
9
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
cusp
corner
vertical tangent
10
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
vertical tangent
cusp
corner
11
Differentiate the function below . . .
y' = cscxcotx
y' = secxtanx
y' = -cos2x
y' = sec2x
12
If s(t) is the position function of an object, the second derivative of s(t) gives us . . . .
2 headaches
acceleration
velocity
speed
13
The absolute value of velocity is . . . .
acceleration
negative
nice
speed
14
Differentiate the function below . . .
y' = -csc2x
y' = sec2x
y' = cotx
y' = secxtanx
15
This is the . . . .
Power Rule
Alternate Definition of the Derivative
Quotient Rule
Definition of the Derivative
16
Differentiate the function below . . .
y' = 7
y' = cosx - sinx
y' = tanx + cotx
y' = sinx + cosx
