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